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Finding the Fourth Proportional to 7,345.48, 10,127.82 and 6,397.78

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Solution

The fourth proportional to 7,345.48, 10,127.82 and 6,397.78 is: 8,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.48 : 10,127.82 = 6,397.78 : x
  2. Step 2: Convert to fraction form
    7,345.48/10,127.82 = 6,397.78/x
  3. Step 3: Cross multiply
    7,345.48x = 10,127.82 × 6,397.78
  4. Step 4: Simplify right side
    7,345.48x = 64,795,564.24
  5. Step 5: Solve for x
    x = 64,795,564.24/7,345.48
  6. Step 6: Final answer
    x = 8,821.15

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