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Finding the Fourth Proportional to 7,787.68, 11,681.20 and 2,592.16

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Solution

The fourth proportional to 7,787.68, 11,681.20 and 2,592.16 is: 3,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.68 : 11,681.20 = 2,592.16 : x
  2. Step 2: Convert to fraction form
    7,787.68/11,681.20 = 2,592.16/x
  3. Step 3: Cross multiply
    7,787.68x = 11,681.20 × 2,592.16
  4. Step 4: Simplify right side
    7,787.68x = 30,279,539.39
  5. Step 5: Solve for x
    x = 30,279,539.39/7,787.68
  6. Step 6: Final answer
    x = 3,888.13

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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.