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Finding the Fourth Proportional to 10,582.95, 14,604.37 and 5,867.13

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Solution

The fourth proportional to 10,582.95, 14,604.37 and 5,867.13 is: 8,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.95 : 14,604.37 = 5,867.13 : x
  2. Step 2: Convert to fraction form
    10,582.95/14,604.37 = 5,867.13/x
  3. Step 3: Cross multiply
    10,582.95x = 14,604.37 × 5,867.13
  4. Step 4: Simplify right side
    10,582.95x = 85,685,737.36
  5. Step 5: Solve for x
    x = 85,685,737.36/10,582.95
  6. Step 6: Final answer
    x = 8,096.58

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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.