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Finding the Fourth Proportional to 10,758.56, 14,812.49 and 9,075.79

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Solution

The fourth proportional to 10,758.56, 14,812.49 and 9,075.79 is: 12,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.56 : 14,812.49 = 9,075.79 : x
  2. Step 2: Convert to fraction form
    10,758.56/14,812.49 = 9,075.79/x
  3. Step 3: Cross multiply
    10,758.56x = 14,812.49 × 9,075.79
  4. Step 4: Simplify right side
    10,758.56x = 134,435,034.28
  5. Step 5: Solve for x
    x = 134,435,034.28/10,758.56
  6. Step 6: Final answer
    x = 12,495.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.