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Finding the Fourth Proportional to 7,157.69, 9,877.61 and 4,013.88

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Solution

The fourth proportional to 7,157.69, 9,877.61 and 4,013.88 is: 5,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.69 : 9,877.61 = 4,013.88 : x
  2. Step 2: Convert to fraction form
    7,157.69/9,877.61 = 4,013.88/x
  3. Step 3: Cross multiply
    7,157.69x = 9,877.61 × 4,013.88
  4. Step 4: Simplify right side
    7,157.69x = 39,647,541.23
  5. Step 5: Solve for x
    x = 39,647,541.23/7,157.69
  6. Step 6: Final answer
    x = 5,539.15

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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.