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Finding the Fourth Proportional to 7,730.92, 10,665.04 and 4,543.16

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Solution

The fourth proportional to 7,730.92, 10,665.04 and 4,543.16 is: 6,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.92 : 10,665.04 = 4,543.16 : x
  2. Step 2: Convert to fraction form
    7,730.92/10,665.04 = 4,543.16/x
  3. Step 3: Cross multiply
    7,730.92x = 10,665.04 × 4,543.16
  4. Step 4: Simplify right side
    7,730.92x = 48,452,983.13
  5. Step 5: Solve for x
    x = 48,452,983.13/7,730.92
  6. Step 6: Final answer
    x = 6,267.43

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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.