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Finding the Fourth Proportional to 10,308.40, 15,446.10 and 10,035.04

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Solution

The fourth proportional to 10,308.40, 15,446.10 and 10,035.04 is: 15,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.40 : 15,446.10 = 10,035.04 : x
  2. Step 2: Convert to fraction form
    10,308.40/15,446.10 = 10,035.04/x
  3. Step 3: Cross multiply
    10,308.40x = 15,446.10 × 10,035.04
  4. Step 4: Simplify right side
    10,308.40x = 155,002,231.34
  5. Step 5: Solve for x
    x = 155,002,231.34/10,308.40
  6. Step 6: Final answer
    x = 15,036.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.