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Finding the Fourth Proportional to 10,123.34, 15,164.01 and 8,557.88

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Solution

The fourth proportional to 10,123.34, 15,164.01 and 8,557.88 is: 12,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.34 : 15,164.01 = 8,557.88 : x
  2. Step 2: Convert to fraction form
    10,123.34/15,164.01 = 8,557.88/x
  3. Step 3: Cross multiply
    10,123.34x = 15,164.01 × 8,557.88
  4. Step 4: Simplify right side
    10,123.34x = 129,771,702.08
  5. Step 5: Solve for x
    x = 129,771,702.08/10,123.34
  6. Step 6: Final answer
    x = 12,819.07

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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.