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Finding the Fourth Proportional to 10,748.52, 14,833.10 and 8,054.95

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Solution

The fourth proportional to 10,748.52, 14,833.10 and 8,054.95 is: 11,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.52 : 14,833.10 = 8,054.95 : x
  2. Step 2: Convert to fraction form
    10,748.52/14,833.10 = 8,054.95/x
  3. Step 3: Cross multiply
    10,748.52x = 14,833.10 × 8,054.95
  4. Step 4: Simplify right side
    10,748.52x = 119,479,878.85
  5. Step 5: Solve for x
    x = 119,479,878.85/10,748.52
  6. Step 6: Final answer
    x = 11,115.94

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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.