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Finding the Fourth Proportional to 10,466.62, 15,702.66 and 3,447.70

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Solution

The fourth proportional to 10,466.62, 15,702.66 and 3,447.70 is: 5,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.62 : 15,702.66 = 3,447.70 : x
  2. Step 2: Convert to fraction form
    10,466.62/15,702.66 = 3,447.70/x
  3. Step 3: Cross multiply
    10,466.62x = 15,702.66 × 3,447.70
  4. Step 4: Simplify right side
    10,466.62x = 54,138,021.63
  5. Step 5: Solve for x
    x = 54,138,021.63/10,466.62
  6. Step 6: Final answer
    x = 5,172.45

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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.