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Finding the Fourth Proportional to 10,123.22, 15,184.02 and 4,502.63

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Solution

The fourth proportional to 10,123.22, 15,184.02 and 4,502.63 is: 6,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.22 : 15,184.02 = 4,502.63 : x
  2. Step 2: Convert to fraction form
    10,123.22/15,184.02 = 4,502.63/x
  3. Step 3: Cross multiply
    10,123.22x = 15,184.02 × 4,502.63
  4. Step 4: Simplify right side
    10,123.22x = 68,368,023.97
  5. Step 5: Solve for x
    x = 68,368,023.97/10,123.22
  6. Step 6: Final answer
    x = 6,753.58

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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.