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Finding the Fourth Proportional to 11,294.65, 15,587.02 and 6,817.53

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Solution

The fourth proportional to 11,294.65, 15,587.02 and 6,817.53 is: 9,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.65 : 15,587.02 = 6,817.53 : x
  2. Step 2: Convert to fraction form
    11,294.65/15,587.02 = 6,817.53/x
  3. Step 3: Cross multiply
    11,294.65x = 15,587.02 × 6,817.53
  4. Step 4: Simplify right side
    11,294.65x = 106,264,935.21
  5. Step 5: Solve for x
    x = 106,264,935.21/11,294.65
  6. Step 6: Final answer
    x = 9,408.43

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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.