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Finding the Fourth Proportional to 10,775.16, 16,138.98 and 8,291.70

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Solution

The fourth proportional to 10,775.16, 16,138.98 and 8,291.70 is: 12,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.16 : 16,138.98 = 8,291.70 : x
  2. Step 2: Convert to fraction form
    10,775.16/16,138.98 = 8,291.70/x
  3. Step 3: Cross multiply
    10,775.16x = 16,138.98 × 8,291.70
  4. Step 4: Simplify right side
    10,775.16x = 133,819,580.47
  5. Step 5: Solve for x
    x = 133,819,580.47/10,775.16
  6. Step 6: Final answer
    x = 12,419.27

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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.