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Finding the Fourth Proportional to 11,466.16, 15,825.07 and 6,432.41

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Solution

The fourth proportional to 11,466.16, 15,825.07 and 6,432.41 is: 8,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.16 : 15,825.07 = 6,432.41 : x
  2. Step 2: Convert to fraction form
    11,466.16/15,825.07 = 6,432.41/x
  3. Step 3: Cross multiply
    11,466.16x = 15,825.07 × 6,432.41
  4. Step 4: Simplify right side
    11,466.16x = 101,793,386.12
  5. Step 5: Solve for x
    x = 101,793,386.12/11,466.16
  6. Step 6: Final answer
    x = 8,877.72

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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.