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Finding the Fourth Proportional to 8,432.64, 11,637 and 4,896.72

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Solution

The fourth proportional to 8,432.64, 11,637 and 4,896.72 is: 6,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.64 : 11,637 = 4,896.72 : x
  2. Step 2: Convert to fraction form
    8,432.64/11,637 = 4,896.72/x
  3. Step 3: Cross multiply
    8,432.64x = 11,637 × 4,896.72
  4. Step 4: Simplify right side
    8,432.64x = 56,983,130.64
  5. Step 5: Solve for x
    x = 56,983,130.64/8,432.64
  6. Step 6: Final answer
    x = 6,757.45

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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.