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Finding the Fourth Proportional to 10,254.86, 15,373.06 and 3,679.50

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Solution

The fourth proportional to 10,254.86, 15,373.06 and 3,679.50 is: 5,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.86 : 15,373.06 = 3,679.50 : x
  2. Step 2: Convert to fraction form
    10,254.86/15,373.06 = 3,679.50/x
  3. Step 3: Cross multiply
    10,254.86x = 15,373.06 × 3,679.50
  4. Step 4: Simplify right side
    10,254.86x = 56,565,174.27
  5. Step 5: Solve for x
    x = 56,565,174.27/10,254.86
  6. Step 6: Final answer
    x = 5,515.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.