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Finding the Fourth Proportional to 11,177.16, 15,423.42 and 6,700.08

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Solution

The fourth proportional to 11,177.16, 15,423.42 and 6,700.08 is: 9,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.16 : 15,423.42 = 6,700.08 : x
  2. Step 2: Convert to fraction form
    11,177.16/15,423.42 = 6,700.08/x
  3. Step 3: Cross multiply
    11,177.16x = 15,423.42 × 6,700.08
  4. Step 4: Simplify right side
    11,177.16x = 103,338,147.87
  5. Step 5: Solve for x
    x = 103,338,147.87/11,177.16
  6. Step 6: Final answer
    x = 9,245.47

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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.