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Finding the Fourth Proportional to 10,728.84, 16,075.48 and 7,593.32

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Solution

The fourth proportional to 10,728.84, 16,075.48 and 7,593.32 is: 11,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.84 : 16,075.48 = 7,593.32 : x
  2. Step 2: Convert to fraction form
    10,728.84/16,075.48 = 7,593.32/x
  3. Step 3: Cross multiply
    10,728.84x = 16,075.48 × 7,593.32
  4. Step 4: Simplify right side
    10,728.84x = 122,066,263.79
  5. Step 5: Solve for x
    x = 122,066,263.79/10,728.84
  6. Step 6: Final answer
    x = 11,377.40

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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.