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Finding the Fourth Proportional to 10,451.46, 15,678.22 and 3,055.74

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Solution

The fourth proportional to 10,451.46, 15,678.22 and 3,055.74 is: 4,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.46 : 15,678.22 = 3,055.74 : x
  2. Step 2: Convert to fraction form
    10,451.46/15,678.22 = 3,055.74/x
  3. Step 3: Cross multiply
    10,451.46x = 15,678.22 × 3,055.74
  4. Step 4: Simplify right side
    10,451.46x = 47,908,563.98
  5. Step 5: Solve for x
    x = 47,908,563.98/10,451.46
  6. Step 6: Final answer
    x = 4,583.91

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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.