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Finding the Fourth Proportional to 10,966.38, 16,456.05 and 4,045.74

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Solution

The fourth proportional to 10,966.38, 16,456.05 and 4,045.74 is: 6,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.38 : 16,456.05 = 4,045.74 : x
  2. Step 2: Convert to fraction form
    10,966.38/16,456.05 = 4,045.74/x
  3. Step 3: Cross multiply
    10,966.38x = 16,456.05 × 4,045.74
  4. Step 4: Simplify right side
    10,966.38x = 66,576,899.73
  5. Step 5: Solve for x
    x = 66,576,899.73/10,966.38
  6. Step 6: Final answer
    x = 6,071.00

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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.