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Finding the Fourth Proportional to 8,749, 12,074.16 and 5,023

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Solution

The fourth proportional to 8,749, 12,074.16 and 5,023 is: 6,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749 : 12,074.16 = 5,023 : x
  2. Step 2: Convert to fraction form
    8,749/12,074.16 = 5,023/x
  3. Step 3: Cross multiply
    8,749x = 12,074.16 × 5,023
  4. Step 4: Simplify right side
    8,749x = 60,648,505.68
  5. Step 5: Solve for x
    x = 60,648,505.68/8,749
  6. Step 6: Final answer
    x = 6,932.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.