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Finding the Fourth Proportional to 10,003.65, 15,003.90 and 6,294.53

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Solution

The fourth proportional to 10,003.65, 15,003.90 and 6,294.53 is: 9,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.65 : 15,003.90 = 6,294.53 : x
  2. Step 2: Convert to fraction form
    10,003.65/15,003.90 = 6,294.53/x
  3. Step 3: Cross multiply
    10,003.65x = 15,003.90 × 6,294.53
  4. Step 4: Simplify right side
    10,003.65x = 94,442,423.65
  5. Step 5: Solve for x
    x = 94,442,423.65/10,003.65
  6. Step 6: Final answer
    x = 9,440.80

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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.