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Finding the Fourth Proportional to 10,451.60, 15,677.40 and 3,055.76

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Solution

The fourth proportional to 10,451.60, 15,677.40 and 3,055.76 is: 4,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.60 : 15,677.40 = 3,055.76 : x
  2. Step 2: Convert to fraction form
    10,451.60/15,677.40 = 3,055.76/x
  3. Step 3: Cross multiply
    10,451.60x = 15,677.40 × 3,055.76
  4. Step 4: Simplify right side
    10,451.60x = 47,906,371.82
  5. Step 5: Solve for x
    x = 47,906,371.82/10,451.60
  6. Step 6: Final answer
    x = 4,583.64

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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.