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Finding the Fourth Proportional to 10,207.70, 15,312.92 and 7,039.28

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Solution

The fourth proportional to 10,207.70, 15,312.92 and 7,039.28 is: 10,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.70 : 15,312.92 = 7,039.28 : x
  2. Step 2: Convert to fraction form
    10,207.70/15,312.92 = 7,039.28/x
  3. Step 3: Cross multiply
    10,207.70x = 15,312.92 × 7,039.28
  4. Step 4: Simplify right side
    10,207.70x = 107,791,931.50
  5. Step 5: Solve for x
    x = 107,791,931.50/10,207.70
  6. Step 6: Final answer
    x = 10,559.86

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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.