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Finding the Fourth Proportional to 10,862.66, 16,295.40 and 3,071.66

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Solution

The fourth proportional to 10,862.66, 16,295.40 and 3,071.66 is: 4,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.66 : 16,295.40 = 3,071.66 : x
  2. Step 2: Convert to fraction form
    10,862.66/16,295.40 = 3,071.66/x
  3. Step 3: Cross multiply
    10,862.66x = 16,295.40 × 3,071.66
  4. Step 4: Simplify right side
    10,862.66x = 50,053,928.36
  5. Step 5: Solve for x
    x = 50,053,928.36/10,862.66
  6. Step 6: Final answer
    x = 4,607.89

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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.