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Finding the Fourth Proportional to 10,957.66, 16,412.90 and 7,428.30

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Solution

The fourth proportional to 10,957.66, 16,412.90 and 7,428.30 is: 11,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.66 : 16,412.90 = 7,428.30 : x
  2. Step 2: Convert to fraction form
    10,957.66/16,412.90 = 7,428.30/x
  3. Step 3: Cross multiply
    10,957.66x = 16,412.90 × 7,428.30
  4. Step 4: Simplify right side
    10,957.66x = 121,919,846.38
  5. Step 5: Solve for x
    x = 121,919,846.38/10,957.66
  6. Step 6: Final answer
    x = 11,126.45

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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.