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Finding the Fourth Proportional to 12,075.72, 18,098.88 and 5,135.64

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Solution

The fourth proportional to 12,075.72, 18,098.88 and 5,135.64 is: 7,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.72 : 18,098.88 = 5,135.64 : x
  2. Step 2: Convert to fraction form
    12,075.72/18,098.88 = 5,135.64/x
  3. Step 3: Cross multiply
    12,075.72x = 18,098.88 × 5,135.64
  4. Step 4: Simplify right side
    12,075.72x = 92,949,332.08
  5. Step 5: Solve for x
    x = 92,949,332.08/12,075.72
  6. Step 6: Final answer
    x = 7,697.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.