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Finding the Fourth Proportional to 10,075.77, 13,903.92 and 5,599.25

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Solution

The fourth proportional to 10,075.77, 13,903.92 and 5,599.25 is: 7,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.77 : 13,903.92 = 5,599.25 : x
  2. Step 2: Convert to fraction form
    10,075.77/13,903.92 = 5,599.25/x
  3. Step 3: Cross multiply
    10,075.77x = 13,903.92 × 5,599.25
  4. Step 4: Simplify right side
    10,075.77x = 77,851,506.68
  5. Step 5: Solve for x
    x = 77,851,506.68/10,075.77
  6. Step 6: Final answer
    x = 7,726.61

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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.