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Finding the Fourth Proportional to 10,308.50, 14,225.45 and 5,709.12

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Solution

The fourth proportional to 10,308.50, 14,225.45 and 5,709.12 is: 7,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.50 : 14,225.45 = 5,709.12 : x
  2. Step 2: Convert to fraction form
    10,308.50/14,225.45 = 5,709.12/x
  3. Step 3: Cross multiply
    10,308.50x = 14,225.45 × 5,709.12
  4. Step 4: Simplify right side
    10,308.50x = 81,214,815.38
  5. Step 5: Solve for x
    x = 81,214,815.38/10,308.50
  6. Step 6: Final answer
    x = 7,878.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.