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Finding the Fourth Proportional to 8,032.38, 12,036.72 and 4,524.08

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Solution

The fourth proportional to 8,032.38, 12,036.72 and 4,524.08 is: 6,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.38 : 12,036.72 = 4,524.08 : x
  2. Step 2: Convert to fraction form
    8,032.38/12,036.72 = 4,524.08/x
  3. Step 3: Cross multiply
    8,032.38x = 12,036.72 × 4,524.08
  4. Step 4: Simplify right side
    8,032.38x = 54,455,084.22
  5. Step 5: Solve for x
    x = 54,455,084.22/8,032.38
  6. Step 6: Final answer
    x = 6,779.45

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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.