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Finding the Fourth Proportional to 10,504.68, 15,748.71 and 7,207.98

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Solution

The fourth proportional to 10,504.68, 15,748.71 and 7,207.98 is: 10,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.68 : 15,748.71 = 7,207.98 : x
  2. Step 2: Convert to fraction form
    10,504.68/15,748.71 = 7,207.98/x
  3. Step 3: Cross multiply
    10,504.68x = 15,748.71 × 7,207.98
  4. Step 4: Simplify right side
    10,504.68x = 113,516,386.71
  5. Step 5: Solve for x
    x = 113,516,386.71/10,504.68
  6. Step 6: Final answer
    x = 10,806.27

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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.