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Finding the Fourth Proportional to 10,638.64, 15,960.66 and 4,064.14

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Solution

The fourth proportional to 10,638.64, 15,960.66 and 4,064.14 is: 6,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.64 : 15,960.66 = 4,064.14 : x
  2. Step 2: Convert to fraction form
    10,638.64/15,960.66 = 4,064.14/x
  3. Step 3: Cross multiply
    10,638.64x = 15,960.66 × 4,064.14
  4. Step 4: Simplify right side
    10,638.64x = 64,866,356.73
  5. Step 5: Solve for x
    x = 64,866,356.73/10,638.64
  6. Step 6: Final answer
    x = 6,097.24

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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.