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Finding the Fourth Proportional to 10,075.52, 13,903.92 and 5,599.16

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Solution

The fourth proportional to 10,075.52, 13,903.92 and 5,599.16 is: 7,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.52 : 13,903.92 = 5,599.16 : x
  2. Step 2: Convert to fraction form
    10,075.52/13,903.92 = 5,599.16/x
  3. Step 3: Cross multiply
    10,075.52x = 13,903.92 × 5,599.16
  4. Step 4: Simplify right side
    10,075.52x = 77,850,272.71
  5. Step 5: Solve for x
    x = 77,850,272.71/10,075.52
  6. Step 6: Final answer
    x = 7,726.68

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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.