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Finding the Fourth Proportional to 6,101.68, 8,411.70 and 4,332.64

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Solution

The fourth proportional to 6,101.68, 8,411.70 and 4,332.64 is: 5,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.68 : 8,411.70 = 4,332.64 : x
  2. Step 2: Convert to fraction form
    6,101.68/8,411.70 = 4,332.64/x
  3. Step 3: Cross multiply
    6,101.68x = 8,411.70 × 4,332.64
  4. Step 4: Simplify right side
    6,101.68x = 36,444,867.89
  5. Step 5: Solve for x
    x = 36,444,867.89/6,101.68
  6. Step 6: Final answer
    x = 5,972.92

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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.