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Finding the Fourth Proportional to 10,681.40, 16,015.70 and 5,497.40

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Solution

The fourth proportional to 10,681.40, 16,015.70 and 5,497.40 is: 8,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.40 : 16,015.70 = 5,497.40 : x
  2. Step 2: Convert to fraction form
    10,681.40/16,015.70 = 5,497.40/x
  3. Step 3: Cross multiply
    10,681.40x = 16,015.70 × 5,497.40
  4. Step 4: Simplify right side
    10,681.40x = 88,044,709.18
  5. Step 5: Solve for x
    x = 88,044,709.18/10,681.40
  6. Step 6: Final answer
    x = 8,242.81

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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.