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Finding the Fourth Proportional to 8,749.76, 12,074.57 and 4,770.78

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Solution

The fourth proportional to 8,749.76, 12,074.57 and 4,770.78 is: 6,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.76 : 12,074.57 = 4,770.78 : x
  2. Step 2: Convert to fraction form
    8,749.76/12,074.57 = 4,770.78/x
  3. Step 3: Cross multiply
    8,749.76x = 12,074.57 × 4,770.78
  4. Step 4: Simplify right side
    8,749.76x = 57,605,117.06
  5. Step 5: Solve for x
    x = 57,605,117.06/8,749.76
  6. Step 6: Final answer
    x = 6,583.62

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