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Finding the Fourth Proportional to 8,471.77, 12,707.59 and 2,548.63

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Solution

The fourth proportional to 8,471.77, 12,707.59 and 2,548.63 is: 3,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.77 : 12,707.59 = 2,548.63 : x
  2. Step 2: Convert to fraction form
    8,471.77/12,707.59 = 2,548.63/x
  3. Step 3: Cross multiply
    8,471.77x = 12,707.59 × 2,548.63
  4. Step 4: Simplify right side
    8,471.77x = 32,386,987.99
  5. Step 5: Solve for x
    x = 32,386,987.99/8,471.77
  6. Step 6: Final answer
    x = 3,822.93

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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.