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Finding the Fourth Proportional to 10,242.58, 15,364.17 and 4,002.34

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Solution

The fourth proportional to 10,242.58, 15,364.17 and 4,002.34 is: 6,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.58 : 15,364.17 = 4,002.34 : x
  2. Step 2: Convert to fraction form
    10,242.58/15,364.17 = 4,002.34/x
  3. Step 3: Cross multiply
    10,242.58x = 15,364.17 × 4,002.34
  4. Step 4: Simplify right side
    10,242.58x = 61,492,632.16
  5. Step 5: Solve for x
    x = 61,492,632.16/10,242.58
  6. Step 6: Final answer
    x = 6,003.63

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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.