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Finding the Fourth Proportional to 10,353.40, 15,530.10 and 9,843.10

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Solution

The fourth proportional to 10,353.40, 15,530.10 and 9,843.10 is: 14,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.40 : 15,530.10 = 9,843.10 : x
  2. Step 2: Convert to fraction form
    10,353.40/15,530.10 = 9,843.10/x
  3. Step 3: Cross multiply
    10,353.40x = 15,530.10 × 9,843.10
  4. Step 4: Simplify right side
    10,353.40x = 152,864,327.31
  5. Step 5: Solve for x
    x = 152,864,327.31/10,353.40
  6. Step 6: Final answer
    x = 14,764.65

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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.