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Finding the Fourth Proportional to 10,605.94, 15,816.33 and 9,295.76

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Solution

The fourth proportional to 10,605.94, 15,816.33 and 9,295.76 is: 13,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.94 : 15,816.33 = 9,295.76 : x
  2. Step 2: Convert to fraction form
    10,605.94/15,816.33 = 9,295.76/x
  3. Step 3: Cross multiply
    10,605.94x = 15,816.33 × 9,295.76
  4. Step 4: Simplify right side
    10,605.94x = 147,024,847.30
  5. Step 5: Solve for x
    x = 147,024,847.30/10,605.94
  6. Step 6: Final answer
    x = 13,862.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.