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Finding the Fourth Proportional to 10,329.99, 15,510.77 and 9,107.70

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Solution

The fourth proportional to 10,329.99, 15,510.77 and 9,107.70 is: 13,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.99 : 15,510.77 = 9,107.70 : x
  2. Step 2: Convert to fraction form
    10,329.99/15,510.77 = 9,107.70/x
  3. Step 3: Cross multiply
    10,329.99x = 15,510.77 × 9,107.70
  4. Step 4: Simplify right side
    10,329.99x = 141,267,439.93
  5. Step 5: Solve for x
    x = 141,267,439.93/10,329.99
  6. Step 6: Final answer
    x = 13,675.47

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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.