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Finding the Fourth Proportional to 8,146.80, 11,235.59 and 6,465.55

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Solution

The fourth proportional to 8,146.80, 11,235.59 and 6,465.55 is: 8,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.80 : 11,235.59 = 6,465.55 : x
  2. Step 2: Convert to fraction form
    8,146.80/11,235.59 = 6,465.55/x
  3. Step 3: Cross multiply
    8,146.80x = 11,235.59 × 6,465.55
  4. Step 4: Simplify right side
    8,146.80x = 72,644,268.92
  5. Step 5: Solve for x
    x = 72,644,268.92/8,146.80
  6. Step 6: Final answer
    x = 8,916.91

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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.