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Finding the Fourth Proportional to 6,888.80, 10,307.64 and 4,116.92

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Solution

The fourth proportional to 6,888.80, 10,307.64 and 4,116.92 is: 6,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.80 : 10,307.64 = 4,116.92 : x
  2. Step 2: Convert to fraction form
    6,888.80/10,307.64 = 4,116.92/x
  3. Step 3: Cross multiply
    6,888.80x = 10,307.64 × 4,116.92
  4. Step 4: Simplify right side
    6,888.80x = 42,435,729.27
  5. Step 5: Solve for x
    x = 42,435,729.27/6,888.80
  6. Step 6: Final answer
    x = 6,160.10

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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.