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Finding the Fourth Proportional to 10,377.03, 14,321.15 and 5,902.18

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Solution

The fourth proportional to 10,377.03, 14,321.15 and 5,902.18 is: 8,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.03 : 14,321.15 = 5,902.18 : x
  2. Step 2: Convert to fraction form
    10,377.03/14,321.15 = 5,902.18/x
  3. Step 3: Cross multiply
    10,377.03x = 14,321.15 × 5,902.18
  4. Step 4: Simplify right side
    10,377.03x = 84,526,005.11
  5. Step 5: Solve for x
    x = 84,526,005.11/10,377.03
  6. Step 6: Final answer
    x = 8,145.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.