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Finding the Fourth Proportional to 10,342.42, 15,502.70 and 4,799.50

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Solution

The fourth proportional to 10,342.42, 15,502.70 and 4,799.50 is: 7,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.42 : 15,502.70 = 4,799.50 : x
  2. Step 2: Convert to fraction form
    10,342.42/15,502.70 = 4,799.50/x
  3. Step 3: Cross multiply
    10,342.42x = 15,502.70 × 4,799.50
  4. Step 4: Simplify right side
    10,342.42x = 74,405,208.65
  5. Step 5: Solve for x
    x = 74,405,208.65/10,342.42
  6. Step 6: Final answer
    x = 7,194.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.