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Finding the Fourth Proportional to 7,708.10, 11,543.51 and 4,411.20

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Solution

The fourth proportional to 7,708.10, 11,543.51 and 4,411.20 is: 6,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.10 : 11,543.51 = 4,411.20 : x
  2. Step 2: Convert to fraction form
    7,708.10/11,543.51 = 4,411.20/x
  3. Step 3: Cross multiply
    7,708.10x = 11,543.51 × 4,411.20
  4. Step 4: Simplify right side
    7,708.10x = 50,920,731.31
  5. Step 5: Solve for x
    x = 50,920,731.31/7,708.10
  6. Step 6: Final answer
    x = 6,606.13

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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.