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Finding the Fourth Proportional to 10,466.64, 15,702.18 and 5,204.46

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Solution

The fourth proportional to 10,466.64, 15,702.18 and 5,204.46 is: 7,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.64 : 15,702.18 = 5,204.46 : x
  2. Step 2: Convert to fraction form
    10,466.64/15,702.18 = 5,204.46/x
  3. Step 3: Cross multiply
    10,466.64x = 15,702.18 × 5,204.46
  4. Step 4: Simplify right side
    10,466.64x = 81,721,367.72
  5. Step 5: Solve for x
    x = 81,721,367.72/10,466.64
  6. Step 6: Final answer
    x = 7,807.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.