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Finding the Fourth Proportional to 10,799.42, 14,886.87 and 8,437.46

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Solution

The fourth proportional to 10,799.42, 14,886.87 and 8,437.46 is: 11,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.42 : 14,886.87 = 8,437.46 : x
  2. Step 2: Convert to fraction form
    10,799.42/14,886.87 = 8,437.46/x
  3. Step 3: Cross multiply
    10,799.42x = 14,886.87 × 8,437.46
  4. Step 4: Simplify right side
    10,799.42x = 125,607,370.15
  5. Step 5: Solve for x
    x = 125,607,370.15/10,799.42
  6. Step 6: Final answer
    x = 11,630.94

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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.