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Finding the Fourth Proportional to 10,582.79, 14,602.68 and 5,867.10

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Solution

The fourth proportional to 10,582.79, 14,602.68 and 5,867.10 is: 8,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.79 : 14,602.68 = 5,867.10 : x
  2. Step 2: Convert to fraction form
    10,582.79/14,602.68 = 5,867.10/x
  3. Step 3: Cross multiply
    10,582.79x = 14,602.68 × 5,867.10
  4. Step 4: Simplify right side
    10,582.79x = 85,675,383.83
  5. Step 5: Solve for x
    x = 85,675,383.83/10,582.79
  6. Step 6: Final answer
    x = 8,095.73

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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.