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Finding the Fourth Proportional to 10,307.90, 15,434.14 and 8,481.06

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Solution

The fourth proportional to 10,307.90, 15,434.14 and 8,481.06 is: 12,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.90 : 15,434.14 = 8,481.06 : x
  2. Step 2: Convert to fraction form
    10,307.90/15,434.14 = 8,481.06/x
  3. Step 3: Cross multiply
    10,307.90x = 15,434.14 × 8,481.06
  4. Step 4: Simplify right side
    10,307.90x = 130,897,867.39
  5. Step 5: Solve for x
    x = 130,897,867.39/10,307.90
  6. Step 6: Final answer
    x = 12,698.79

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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.