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Finding the Fourth Proportional to 15,135, 22,703.10 and 5,275.27

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Solution

The fourth proportional to 15,135, 22,703.10 and 5,275.27 is: 7,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135 : 22,703.10 = 5,275.27 : x
  2. Step 2: Convert to fraction form
    15,135/22,703.10 = 5,275.27/x
  3. Step 3: Cross multiply
    15,135x = 22,703.10 × 5,275.27
  4. Step 4: Simplify right side
    15,135x = 119,764,982.34
  5. Step 5: Solve for x
    x = 119,764,982.34/15,135
  6. Step 6: Final answer
    x = 7,913.11

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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.