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Finding the Fourth Proportional to 8,851.86, 13,277.70 and 2,278.02

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Solution

The fourth proportional to 8,851.86, 13,277.70 and 2,278.02 is: 3,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,851.86 : 13,277.70 = 2,278.02 : x
  2. Step 2: Convert to fraction form
    8,851.86/13,277.70 = 2,278.02/x
  3. Step 3: Cross multiply
    8,851.86x = 13,277.70 × 2,278.02
  4. Step 4: Simplify right side
    8,851.86x = 30,246,866.15
  5. Step 5: Solve for x
    x = 30,246,866.15/8,851.86
  6. Step 6: Final answer
    x = 3,417.01

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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.