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Finding the Fourth Proportional to 10,962.84, 16,340.11 and 10,340.16

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Solution

The fourth proportional to 10,962.84, 16,340.11 and 10,340.16 is: 15,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.84 : 16,340.11 = 10,340.16 : x
  2. Step 2: Convert to fraction form
    10,962.84/16,340.11 = 10,340.16/x
  3. Step 3: Cross multiply
    10,962.84x = 16,340.11 × 10,340.16
  4. Step 4: Simplify right side
    10,962.84x = 168,959,351.82
  5. Step 5: Solve for x
    x = 168,959,351.82/10,962.84
  6. Step 6: Final answer
    x = 15,412.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.