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Finding the Fourth Proportional to 10,031.67, 15,056.70 and 5,104.71

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Solution

The fourth proportional to 10,031.67, 15,056.70 and 5,104.71 is: 7,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.67 : 15,056.70 = 5,104.71 : x
  2. Step 2: Convert to fraction form
    10,031.67/15,056.70 = 5,104.71/x
  3. Step 3: Cross multiply
    10,031.67x = 15,056.70 × 5,104.71
  4. Step 4: Simplify right side
    10,031.67x = 76,860,087.06
  5. Step 5: Solve for x
    x = 76,860,087.06/10,031.67
  6. Step 6: Final answer
    x = 7,661.74

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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.