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Finding the Fourth Proportional to 10,031.16, 15,046.86 and 2,635.86

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Solution

The fourth proportional to 10,031.16, 15,046.86 and 2,635.86 is: 3,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.16 : 15,046.86 = 2,635.86 : x
  2. Step 2: Convert to fraction form
    10,031.16/15,046.86 = 2,635.86/x
  3. Step 3: Cross multiply
    10,031.16x = 15,046.86 × 2,635.86
  4. Step 4: Simplify right side
    10,031.16x = 39,661,416.40
  5. Step 5: Solve for x
    x = 39,661,416.40/10,031.16
  6. Step 6: Final answer
    x = 3,953.82

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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.