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Finding the Fourth Proportional to 8,538.32, 12,800.76 and 3,343.76

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Solution

The fourth proportional to 8,538.32, 12,800.76 and 3,343.76 is: 5,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.32 : 12,800.76 = 3,343.76 : x
  2. Step 2: Convert to fraction form
    8,538.32/12,800.76 = 3,343.76/x
  3. Step 3: Cross multiply
    8,538.32x = 12,800.76 × 3,343.76
  4. Step 4: Simplify right side
    8,538.32x = 42,802,669.26
  5. Step 5: Solve for x
    x = 42,802,669.26/8,538.32
  6. Step 6: Final answer
    x = 5,013.01

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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.