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Finding the Fourth Proportional to 10,681.65, 16,024.14 and 5,133.96

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Solution

The fourth proportional to 10,681.65, 16,024.14 and 5,133.96 is: 7,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.65 : 16,024.14 = 5,133.96 : x
  2. Step 2: Convert to fraction form
    10,681.65/16,024.14 = 5,133.96/x
  3. Step 3: Cross multiply
    10,681.65x = 16,024.14 × 5,133.96
  4. Step 4: Simplify right side
    10,681.65x = 82,267,293.79
  5. Step 5: Solve for x
    x = 82,267,293.79/10,681.65
  6. Step 6: Final answer
    x = 7,701.74

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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.