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Finding the Fourth Proportional to 6,042.90, 9,088.65 and 5,411.10

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Solution

The fourth proportional to 6,042.90, 9,088.65 and 5,411.10 is: 8,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.90 : 9,088.65 = 5,411.10 : x
  2. Step 2: Convert to fraction form
    6,042.90/9,088.65 = 5,411.10/x
  3. Step 3: Cross multiply
    6,042.90x = 9,088.65 × 5,411.10
  4. Step 4: Simplify right side
    6,042.90x = 49,179,594.02
  5. Step 5: Solve for x
    x = 49,179,594.02/6,042.90
  6. Step 6: Final answer
    x = 8,138.41

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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.