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Finding the Fourth Proportional to 7,620.84, 11,411.20 and 6,132.16

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Solution

The fourth proportional to 7,620.84, 11,411.20 and 6,132.16 is: 9,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.84 : 11,411.20 = 6,132.16 : x
  2. Step 2: Convert to fraction form
    7,620.84/11,411.20 = 6,132.16/x
  3. Step 3: Cross multiply
    7,620.84x = 11,411.20 × 6,132.16
  4. Step 4: Simplify right side
    7,620.84x = 69,975,304.19
  5. Step 5: Solve for x
    x = 69,975,304.19/7,620.84
  6. Step 6: Final answer
    x = 9,182.10

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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.