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Finding the Fourth Proportional to 10,411.85, 15,616.76 and 5,730.32

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Solution

The fourth proportional to 10,411.85, 15,616.76 and 5,730.32 is: 8,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.85 : 15,616.76 = 5,730.32 : x
  2. Step 2: Convert to fraction form
    10,411.85/15,616.76 = 5,730.32/x
  3. Step 3: Cross multiply
    10,411.85x = 15,616.76 × 5,730.32
  4. Step 4: Simplify right side
    10,411.85x = 89,488,925.43
  5. Step 5: Solve for x
    x = 89,488,925.43/10,411.85
  6. Step 6: Final answer
    x = 8,594.92

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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.