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Finding the Fourth Proportional to 11,182.70, 15,432.32 and 6,402.64

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Solution

The fourth proportional to 11,182.70, 15,432.32 and 6,402.64 is: 8,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.70 : 15,432.32 = 6,402.64 : x
  2. Step 2: Convert to fraction form
    11,182.70/15,432.32 = 6,402.64/x
  3. Step 3: Cross multiply
    11,182.70x = 15,432.32 × 6,402.64
  4. Step 4: Simplify right side
    11,182.70x = 98,807,480.15
  5. Step 5: Solve for x
    x = 98,807,480.15/11,182.70
  6. Step 6: Final answer
    x = 8,835.74

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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.