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Finding the Fourth Proportional to 10,065.42, 15,085.62 and 3,483.90

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Solution

The fourth proportional to 10,065.42, 15,085.62 and 3,483.90 is: 5,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.42 : 15,085.62 = 3,483.90 : x
  2. Step 2: Convert to fraction form
    10,065.42/15,085.62 = 3,483.90/x
  3. Step 3: Cross multiply
    10,065.42x = 15,085.62 × 3,483.90
  4. Step 4: Simplify right side
    10,065.42x = 52,556,791.52
  5. Step 5: Solve for x
    x = 52,556,791.52/10,065.42
  6. Step 6: Final answer
    x = 5,221.52

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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.