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Finding the Fourth Proportional to 10,075.32, 13,881.24 and 7,553.48

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Solution

The fourth proportional to 10,075.32, 13,881.24 and 7,553.48 is: 10,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.32 : 13,881.24 = 7,553.48 : x
  2. Step 2: Convert to fraction form
    10,075.32/13,881.24 = 7,553.48/x
  3. Step 3: Cross multiply
    10,075.32x = 13,881.24 × 7,553.48
  4. Step 4: Simplify right side
    10,075.32x = 104,851,599.31
  5. Step 5: Solve for x
    x = 104,851,599.31/10,075.32
  6. Step 6: Final answer
    x = 10,406.78

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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.