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Finding the Fourth Proportional to 10,531.38, 15,798.18 and 3,138

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Solution

The fourth proportional to 10,531.38, 15,798.18 and 3,138 is: 4,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.38 : 15,798.18 = 3,138 : x
  2. Step 2: Convert to fraction form
    10,531.38/15,798.18 = 3,138/x
  3. Step 3: Cross multiply
    10,531.38x = 15,798.18 × 3,138
  4. Step 4: Simplify right side
    10,531.38x = 49,574,688.84
  5. Step 5: Solve for x
    x = 49,574,688.84/10,531.38
  6. Step 6: Final answer
    x = 4,707.33

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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.