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Finding the Fourth Proportional to 10,923.78, 15,075.12 and 6,447.12

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Solution

The fourth proportional to 10,923.78, 15,075.12 and 6,447.12 is: 8,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.78 : 15,075.12 = 6,447.12 : x
  2. Step 2: Convert to fraction form
    10,923.78/15,075.12 = 6,447.12/x
  3. Step 3: Cross multiply
    10,923.78x = 15,075.12 × 6,447.12
  4. Step 4: Simplify right side
    10,923.78x = 97,191,107.65
  5. Step 5: Solve for x
    x = 97,191,107.65/10,923.78
  6. Step 6: Final answer
    x = 8,897.20

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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.