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Finding the Fourth Proportional to 10,534.38, 15,802.38 and 3,138.72

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Solution

The fourth proportional to 10,534.38, 15,802.38 and 3,138.72 is: 4,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.38 : 15,802.38 = 3,138.72 : x
  2. Step 2: Convert to fraction form
    10,534.38/15,802.38 = 3,138.72/x
  3. Step 3: Cross multiply
    10,534.38x = 15,802.38 × 3,138.72
  4. Step 4: Simplify right side
    10,534.38x = 49,599,246.15
  5. Step 5: Solve for x
    x = 49,599,246.15/10,534.38
  6. Step 6: Final answer
    x = 4,708.32

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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.