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Finding the Fourth Proportional to 10,095.90, 15,142.04 and 3,074.21

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Solution

The fourth proportional to 10,095.90, 15,142.04 and 3,074.21 is: 4,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.90 : 15,142.04 = 3,074.21 : x
  2. Step 2: Convert to fraction form
    10,095.90/15,142.04 = 3,074.21/x
  3. Step 3: Cross multiply
    10,095.90x = 15,142.04 × 3,074.21
  4. Step 4: Simplify right side
    10,095.90x = 46,549,810.79
  5. Step 5: Solve for x
    x = 46,549,810.79/10,095.90
  6. Step 6: Final answer
    x = 4,610.76

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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.