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Finding the Fourth Proportional to 10,582.20, 14,602.86 and 5,867.16

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Solution

The fourth proportional to 10,582.20, 14,602.86 and 5,867.16 is: 8,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.20 : 14,602.86 = 5,867.16 : x
  2. Step 2: Convert to fraction form
    10,582.20/14,602.86 = 5,867.16/x
  3. Step 3: Cross multiply
    10,582.20x = 14,602.86 × 5,867.16
  4. Step 4: Simplify right side
    10,582.20x = 85,677,316.08
  5. Step 5: Solve for x
    x = 85,677,316.08/10,582.20
  6. Step 6: Final answer
    x = 8,096.36

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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.