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Finding the Fourth Proportional to 10,681.64, 16,024.62 and 3,758.12

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Solution

The fourth proportional to 10,681.64, 16,024.62 and 3,758.12 is: 5,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.64 : 16,024.62 = 3,758.12 : x
  2. Step 2: Convert to fraction form
    10,681.64/16,024.62 = 3,758.12/x
  3. Step 3: Cross multiply
    10,681.64x = 16,024.62 × 3,758.12
  4. Step 4: Simplify right side
    10,681.64x = 60,222,444.91
  5. Step 5: Solve for x
    x = 60,222,444.91/10,681.64
  6. Step 6: Final answer
    x = 5,637.94

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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.