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Finding the Fourth Proportional to 7,117.74, 10,666.31 and 6,495.12

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Solution

The fourth proportional to 7,117.74, 10,666.31 and 6,495.12 is: 9,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.74 : 10,666.31 = 6,495.12 : x
  2. Step 2: Convert to fraction form
    7,117.74/10,666.31 = 6,495.12/x
  3. Step 3: Cross multiply
    7,117.74x = 10,666.31 × 6,495.12
  4. Step 4: Simplify right side
    7,117.74x = 69,278,930.93
  5. Step 5: Solve for x
    x = 69,278,930.93/7,117.74
  6. Step 6: Final answer
    x = 9,733.28

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