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Finding the Fourth Proportional to 8,432.71, 11,637.09 and 4,656.11

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Solution

The fourth proportional to 8,432.71, 11,637.09 and 4,656.11 is: 6,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.71 : 11,637.09 = 4,656.11 : x
  2. Step 2: Convert to fraction form
    8,432.71/11,637.09 = 4,656.11/x
  3. Step 3: Cross multiply
    8,432.71x = 11,637.09 × 4,656.11
  4. Step 4: Simplify right side
    8,432.71x = 54,183,582.75
  5. Step 5: Solve for x
    x = 54,183,582.75/8,432.71
  6. Step 6: Final answer
    x = 6,425.40

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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.