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Finding the Fourth Proportional to 10,451.59, 15,678.92 and 4,905.50

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Solution

The fourth proportional to 10,451.59, 15,678.92 and 4,905.50 is: 7,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.59 : 15,678.92 = 4,905.50 : x
  2. Step 2: Convert to fraction form
    10,451.59/15,678.92 = 4,905.50/x
  3. Step 3: Cross multiply
    10,451.59x = 15,678.92 × 4,905.50
  4. Step 4: Simplify right side
    10,451.59x = 76,912,875.93
  5. Step 5: Solve for x
    x = 76,912,875.93/10,451.59
  6. Step 6: Final answer
    x = 7,358.97

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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.