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Finding the Fourth Proportional to 8,878.68, 12,274.74 and 7,770.60

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Solution

The fourth proportional to 8,878.68, 12,274.74 and 7,770.60 is: 10,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,878.68 : 12,274.74 = 7,770.60 : x
  2. Step 2: Convert to fraction form
    8,878.68/12,274.74 = 7,770.60/x
  3. Step 3: Cross multiply
    8,878.68x = 12,274.74 × 7,770.60
  4. Step 4: Simplify right side
    8,878.68x = 95,382,094.64
  5. Step 5: Solve for x
    x = 95,382,094.64/8,878.68
  6. Step 6: Final answer
    x = 10,742.82

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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.