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Finding the Fourth Proportional to 7,686.31, 10,607.00 and 4,329.13

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Solution

The fourth proportional to 7,686.31, 10,607.00 and 4,329.13 is: 5,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.31 : 10,607.00 = 4,329.13 : x
  2. Step 2: Convert to fraction form
    7,686.31/10,607.00 = 4,329.13/x
  3. Step 3: Cross multiply
    7,686.31x = 10,607.00 × 4,329.13
  4. Step 4: Simplify right side
    7,686.31x = 45,919,060.26
  5. Step 5: Solve for x
    x = 45,919,060.26/7,686.31
  6. Step 6: Final answer
    x = 5,974.14

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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.