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Finding the Fourth Proportional to 10,031.40, 15,046.56 and 4,821.48

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Solution

The fourth proportional to 10,031.40, 15,046.56 and 4,821.48 is: 7,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.40 : 15,046.56 = 4,821.48 : x
  2. Step 2: Convert to fraction form
    10,031.40/15,046.56 = 4,821.48/x
  3. Step 3: Cross multiply
    10,031.40x = 15,046.56 × 4,821.48
  4. Step 4: Simplify right side
    10,031.40x = 72,546,688.11
  5. Step 5: Solve for x
    x = 72,546,688.11/10,031.40
  6. Step 6: Final answer
    x = 7,231.96

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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.