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Finding the Fourth Proportional to 10,582.96, 15,860.50 and 5,905.17

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Solution

The fourth proportional to 10,582.96, 15,860.50 and 5,905.17 is: 8,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.96 : 15,860.50 = 5,905.17 : x
  2. Step 2: Convert to fraction form
    10,582.96/15,860.50 = 5,905.17/x
  3. Step 3: Cross multiply
    10,582.96x = 15,860.50 × 5,905.17
  4. Step 4: Simplify right side
    10,582.96x = 93,658,869.48
  5. Step 5: Solve for x
    x = 93,658,869.48/10,582.96
  6. Step 6: Final answer
    x = 8,849.97

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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.