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Finding the Fourth Proportional to 6,677.60, 9,211.52 and 5,420.08

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Solution

The fourth proportional to 6,677.60, 9,211.52 and 5,420.08 is: 7,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.60 : 9,211.52 = 5,420.08 : x
  2. Step 2: Convert to fraction form
    6,677.60/9,211.52 = 5,420.08/x
  3. Step 3: Cross multiply
    6,677.60x = 9,211.52 × 5,420.08
  4. Step 4: Simplify right side
    6,677.60x = 49,927,175.32
  5. Step 5: Solve for x
    x = 49,927,175.32/6,677.60
  6. Step 6: Final answer
    x = 7,476.81

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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.