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Finding the Fourth Proportional to 8,411.13, 12,602.35 and 5,941.19

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Solution

The fourth proportional to 8,411.13, 12,602.35 and 5,941.19 is: 8,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.13 : 12,602.35 = 5,941.19 : x
  2. Step 2: Convert to fraction form
    8,411.13/12,602.35 = 5,941.19/x
  3. Step 3: Cross multiply
    8,411.13x = 12,602.35 × 5,941.19
  4. Step 4: Simplify right side
    8,411.13x = 74,872,972.45
  5. Step 5: Solve for x
    x = 74,872,972.45/8,411.13
  6. Step 6: Final answer
    x = 8,901.65

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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.