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Finding the Fourth Proportional to 10,284.98, 15,425.50 and 5,014.70

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Solution

The fourth proportional to 10,284.98, 15,425.50 and 5,014.70 is: 7,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.98 : 15,425.50 = 5,014.70 : x
  2. Step 2: Convert to fraction form
    10,284.98/15,425.50 = 5,014.70/x
  3. Step 3: Cross multiply
    10,284.98x = 15,425.50 × 5,014.70
  4. Step 4: Simplify right side
    10,284.98x = 77,354,254.85
  5. Step 5: Solve for x
    x = 77,354,254.85/10,284.98
  6. Step 6: Final answer
    x = 7,521.09

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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.