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Finding the Fourth Proportional to 10,546.33, 14,553.94 and 6,070.95

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Solution

The fourth proportional to 10,546.33, 14,553.94 and 6,070.95 is: 8,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.33 : 14,553.94 = 6,070.95 : x
  2. Step 2: Convert to fraction form
    10,546.33/14,553.94 = 6,070.95/x
  3. Step 3: Cross multiply
    10,546.33x = 14,553.94 × 6,070.95
  4. Step 4: Simplify right side
    10,546.33x = 88,356,246.79
  5. Step 5: Solve for x
    x = 88,356,246.79/10,546.33
  6. Step 6: Final answer
    x = 8,377.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.