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Finding the Fourth Proportional to 11,560.71, 15,970.10 and 9,199.83

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Solution

The fourth proportional to 11,560.71, 15,970.10 and 9,199.83 is: 12,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.71 : 15,970.10 = 9,199.83 : x
  2. Step 2: Convert to fraction form
    11,560.71/15,970.10 = 9,199.83/x
  3. Step 3: Cross multiply
    11,560.71x = 15,970.10 × 9,199.83
  4. Step 4: Simplify right side
    11,560.71x = 146,922,205.08
  5. Step 5: Solve for x
    x = 146,922,205.08/11,560.71
  6. Step 6: Final answer
    x = 12,708.75

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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.