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Finding the Fourth Proportional to 10,582.50, 15,871.94 and 4,960.74

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Solution

The fourth proportional to 10,582.50, 15,871.94 and 4,960.74 is: 7,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.50 : 15,871.94 = 4,960.74 : x
  2. Step 2: Convert to fraction form
    10,582.50/15,871.94 = 4,960.74/x
  3. Step 3: Cross multiply
    10,582.50x = 15,871.94 × 4,960.74
  4. Step 4: Simplify right side
    10,582.50x = 78,736,542.83
  5. Step 5: Solve for x
    x = 78,736,542.83/10,582.50
  6. Step 6: Final answer
    x = 7,440.26

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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.