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Finding the Fourth Proportional to 10,351.10, 15,538.80 and 10,278.20

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Solution

The fourth proportional to 10,351.10, 15,538.80 and 10,278.20 is: 15,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.10 : 15,538.80 = 10,278.20 : x
  2. Step 2: Convert to fraction form
    10,351.10/15,538.80 = 10,278.20/x
  3. Step 3: Cross multiply
    10,351.10x = 15,538.80 × 10,278.20
  4. Step 4: Simplify right side
    10,351.10x = 159,710,894.16
  5. Step 5: Solve for x
    x = 159,710,894.16/10,351.10
  6. Step 6: Final answer
    x = 15,429.36

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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.