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Finding the Fourth Proportional to 10,582.89, 15,860.41 and 5,905.10

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Solution

The fourth proportional to 10,582.89, 15,860.41 and 5,905.10 is: 8,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.89 : 15,860.41 = 5,905.10 : x
  2. Step 2: Convert to fraction form
    10,582.89/15,860.41 = 5,905.10/x
  3. Step 3: Cross multiply
    10,582.89x = 15,860.41 × 5,905.10
  4. Step 4: Simplify right side
    10,582.89x = 93,657,277.57
  5. Step 5: Solve for x
    x = 93,657,277.57/10,582.89
  6. Step 6: Final answer
    x = 8,849.88

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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.