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Finding the Fourth Proportional to 7,854.63, 10,839.47 and 4,269.61

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Solution

The fourth proportional to 7,854.63, 10,839.47 and 4,269.61 is: 5,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.63 : 10,839.47 = 4,269.61 : x
  2. Step 2: Convert to fraction form
    7,854.63/10,839.47 = 4,269.61/x
  3. Step 3: Cross multiply
    7,854.63x = 10,839.47 × 4,269.61
  4. Step 4: Simplify right side
    7,854.63x = 46,280,255.31
  5. Step 5: Solve for x
    x = 46,280,255.31/7,854.63
  6. Step 6: Final answer
    x = 5,892.10

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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.