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Finding the Fourth Proportional to 10,075.23, 15,044.93 and 8,229.93

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Solution

The fourth proportional to 10,075.23, 15,044.93 and 8,229.93 is: 12,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.23 : 15,044.93 = 8,229.93 : x
  2. Step 2: Convert to fraction form
    10,075.23/15,044.93 = 8,229.93/x
  3. Step 3: Cross multiply
    10,075.23x = 15,044.93 × 8,229.93
  4. Step 4: Simplify right side
    10,075.23x = 123,818,679.61
  5. Step 5: Solve for x
    x = 123,818,679.61/10,075.23
  6. Step 6: Final answer
    x = 12,289.41

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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.