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Finding the Fourth Proportional to 10,926.40, 16,389.60 and 6,552.40

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Solution

The fourth proportional to 10,926.40, 16,389.60 and 6,552.40 is: 9,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.40 : 16,389.60 = 6,552.40 : x
  2. Step 2: Convert to fraction form
    10,926.40/16,389.60 = 6,552.40/x
  3. Step 3: Cross multiply
    10,926.40x = 16,389.60 × 6,552.40
  4. Step 4: Simplify right side
    10,926.40x = 107,391,215.04
  5. Step 5: Solve for x
    x = 107,391,215.04/10,926.40
  6. Step 6: Final answer
    x = 9,828.60

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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.