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Finding the Fourth Proportional to 10,582.76, 14,604.14 and 5,867.04

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Solution

The fourth proportional to 10,582.76, 14,604.14 and 5,867.04 is: 8,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.76 : 14,604.14 = 5,867.04 : x
  2. Step 2: Convert to fraction form
    10,582.76/14,604.14 = 5,867.04/x
  3. Step 3: Cross multiply
    10,582.76x = 14,604.14 × 5,867.04
  4. Step 4: Simplify right side
    10,582.76x = 85,683,073.55
  5. Step 5: Solve for x
    x = 85,683,073.55/10,582.76
  6. Step 6: Final answer
    x = 8,096.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.