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Finding the Fourth Proportional to 11,147.47, 15,385.07 and 6,899.89

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Solution

The fourth proportional to 11,147.47, 15,385.07 and 6,899.89 is: 9,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.47 : 15,385.07 = 6,899.89 : x
  2. Step 2: Convert to fraction form
    11,147.47/15,385.07 = 6,899.89/x
  3. Step 3: Cross multiply
    11,147.47x = 15,385.07 × 6,899.89
  4. Step 4: Simplify right side
    11,147.47x = 106,155,290.64
  5. Step 5: Solve for x
    x = 106,155,290.64/11,147.47
  6. Step 6: Final answer
    x = 9,522.81

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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.