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Finding the Fourth Proportional to 10,242.86, 15,364.59 and 4,002.62

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Solution

The fourth proportional to 10,242.86, 15,364.59 and 4,002.62 is: 6,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.86 : 15,364.59 = 4,002.62 : x
  2. Step 2: Convert to fraction form
    10,242.86/15,364.59 = 4,002.62/x
  3. Step 3: Cross multiply
    10,242.86x = 15,364.59 × 4,002.62
  4. Step 4: Simplify right side
    10,242.86x = 61,498,615.23
  5. Step 5: Solve for x
    x = 61,498,615.23/10,242.86
  6. Step 6: Final answer
    x = 6,004.05

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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.