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Finding the Fourth Proportional to 10,451.70, 15,678.18 and 4,210.92

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Solution

The fourth proportional to 10,451.70, 15,678.18 and 4,210.92 is: 6,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.70 : 15,678.18 = 4,210.92 : x
  2. Step 2: Convert to fraction form
    10,451.70/15,678.18 = 4,210.92/x
  3. Step 3: Cross multiply
    10,451.70x = 15,678.18 × 4,210.92
  4. Step 4: Simplify right side
    10,451.70x = 66,019,561.73
  5. Step 5: Solve for x
    x = 66,019,561.73/10,451.70
  6. Step 6: Final answer
    x = 6,316.63

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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.