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Finding the Fourth Proportional to 8,432.97, 11,637.36 and 4,656.50

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Solution

The fourth proportional to 8,432.97, 11,637.36 and 4,656.50 is: 6,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.97 : 11,637.36 = 4,656.50 : x
  2. Step 2: Convert to fraction form
    8,432.97/11,637.36 = 4,656.50/x
  3. Step 3: Cross multiply
    8,432.97x = 11,637.36 × 4,656.50
  4. Step 4: Simplify right side
    8,432.97x = 54,189,366.84
  5. Step 5: Solve for x
    x = 54,189,366.84/8,432.97
  6. Step 6: Final answer
    x = 6,425.89

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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.