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Finding the Fourth Proportional to 8,538.30, 12,801.29 and 5,758.02

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Solution

The fourth proportional to 8,538.30, 12,801.29 and 5,758.02 is: 8,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.30 : 12,801.29 = 5,758.02 : x
  2. Step 2: Convert to fraction form
    8,538.30/12,801.29 = 5,758.02/x
  3. Step 3: Cross multiply
    8,538.30x = 12,801.29 × 5,758.02
  4. Step 4: Simplify right side
    8,538.30x = 73,710,055.06
  5. Step 5: Solve for x
    x = 73,710,055.06/8,538.30
  6. Step 6: Final answer
    x = 8,632.87

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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.