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Finding the Fourth Proportional to 10,083.12, 15,125.76 and 4,242.48

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Solution

The fourth proportional to 10,083.12, 15,125.76 and 4,242.48 is: 6,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.12 : 15,125.76 = 4,242.48 : x
  2. Step 2: Convert to fraction form
    10,083.12/15,125.76 = 4,242.48/x
  3. Step 3: Cross multiply
    10,083.12x = 15,125.76 × 4,242.48
  4. Step 4: Simplify right side
    10,083.12x = 64,170,734.28
  5. Step 5: Solve for x
    x = 64,170,734.28/10,083.12
  6. Step 6: Final answer
    x = 6,364.17

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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.