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Finding the Fourth Proportional to 11,363.80, 15,684.98 and 10,182.84

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Solution

The fourth proportional to 11,363.80, 15,684.98 and 10,182.84 is: 14,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.80 : 15,684.98 = 10,182.84 : x
  2. Step 2: Convert to fraction form
    11,363.80/15,684.98 = 10,182.84/x
  3. Step 3: Cross multiply
    11,363.80x = 15,684.98 × 10,182.84
  4. Step 4: Simplify right side
    11,363.80x = 159,717,641.74
  5. Step 5: Solve for x
    x = 159,717,641.74/11,363.80
  6. Step 6: Final answer
    x = 14,054.95

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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.