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Finding the Fourth Proportional to 8,538.75, 12,810.02 and 2,616.46

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Solution

The fourth proportional to 8,538.75, 12,810.02 and 2,616.46 is: 3,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.75 : 12,810.02 = 2,616.46 : x
  2. Step 2: Convert to fraction form
    8,538.75/12,810.02 = 2,616.46/x
  3. Step 3: Cross multiply
    8,538.75x = 12,810.02 × 2,616.46
  4. Step 4: Simplify right side
    8,538.75x = 33,516,904.93
  5. Step 5: Solve for x
    x = 33,516,904.93/8,538.75
  6. Step 6: Final answer
    x = 3,925.27

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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.