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Finding the Fourth Proportional to 10,875.76, 16,319.22 and 5,329

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Solution

The fourth proportional to 10,875.76, 16,319.22 and 5,329 is: 7,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.76 : 16,319.22 = 5,329 : x
  2. Step 2: Convert to fraction form
    10,875.76/16,319.22 = 5,329/x
  3. Step 3: Cross multiply
    10,875.76x = 16,319.22 × 5,329
  4. Step 4: Simplify right side
    10,875.76x = 86,965,123.38
  5. Step 5: Solve for x
    x = 86,965,123.38/10,875.76
  6. Step 6: Final answer
    x = 7,996.23

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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.