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Finding the Fourth Proportional to 10,785.95, 14,889.21 and 7,251.22

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Solution

The fourth proportional to 10,785.95, 14,889.21 and 7,251.22 is: 10,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.95 : 14,889.21 = 7,251.22 : x
  2. Step 2: Convert to fraction form
    10,785.95/14,889.21 = 7,251.22/x
  3. Step 3: Cross multiply
    10,785.95x = 14,889.21 × 7,251.22
  4. Step 4: Simplify right side
    10,785.95x = 107,964,835.70
  5. Step 5: Solve for x
    x = 107,964,835.70/10,785.95
  6. Step 6: Final answer
    x = 10,009.76

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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.