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Finding the Fourth Proportional to 8,357.89, 11,527.35 and 5,374

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Solution

The fourth proportional to 8,357.89, 11,527.35 and 5,374 is: 7,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.89 : 11,527.35 = 5,374 : x
  2. Step 2: Convert to fraction form
    8,357.89/11,527.35 = 5,374/x
  3. Step 3: Cross multiply
    8,357.89x = 11,527.35 × 5,374
  4. Step 4: Simplify right side
    8,357.89x = 61,947,978.90
  5. Step 5: Solve for x
    x = 61,947,978.90/8,357.89
  6. Step 6: Final answer
    x = 7,411.92

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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.