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Finding the Fourth Proportional to 7,729.66, 10,664.42 and 4,372.14

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Solution

The fourth proportional to 7,729.66, 10,664.42 and 4,372.14 is: 6,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.66 : 10,664.42 = 4,372.14 : x
  2. Step 2: Convert to fraction form
    7,729.66/10,664.42 = 4,372.14/x
  3. Step 3: Cross multiply
    7,729.66x = 10,664.42 × 4,372.14
  4. Step 4: Simplify right side
    7,729.66x = 46,626,337.26
  5. Step 5: Solve for x
    x = 46,626,337.26/7,729.66
  6. Step 6: Final answer
    x = 6,032.13

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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.