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Finding the Fourth Proportional to 10,262.34, 15,403.23 and 5,071.86

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Solution

The fourth proportional to 10,262.34, 15,403.23 and 5,071.86 is: 7,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.34 : 15,403.23 = 5,071.86 : x
  2. Step 2: Convert to fraction form
    10,262.34/15,403.23 = 5,071.86/x
  3. Step 3: Cross multiply
    10,262.34x = 15,403.23 × 5,071.86
  4. Step 4: Simplify right side
    10,262.34x = 78,123,026.11
  5. Step 5: Solve for x
    x = 78,123,026.11/10,262.34
  6. Step 6: Final answer
    x = 7,612.59

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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.