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Finding the Fourth Proportional to 10,451.61, 15,678.89 and 3,056.63

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Solution

The fourth proportional to 10,451.61, 15,678.89 and 3,056.63 is: 4,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.61 : 15,678.89 = 3,056.63 : x
  2. Step 2: Convert to fraction form
    10,451.61/15,678.89 = 3,056.63/x
  3. Step 3: Cross multiply
    10,451.61x = 15,678.89 × 3,056.63
  4. Step 4: Simplify right side
    10,451.61x = 47,924,471.86
  5. Step 5: Solve for x
    x = 47,924,471.86/10,451.61
  6. Step 6: Final answer
    x = 4,585.37

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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.