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Finding the Fourth Proportional to 10,353.42, 15,523.65 and 6,886.62

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Solution

The fourth proportional to 10,353.42, 15,523.65 and 6,886.62 is: 10,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.42 : 15,523.65 = 6,886.62 : x
  2. Step 2: Convert to fraction form
    10,353.42/15,523.65 = 6,886.62/x
  3. Step 3: Cross multiply
    10,353.42x = 15,523.65 × 6,886.62
  4. Step 4: Simplify right side
    10,353.42x = 106,905,478.56
  5. Step 5: Solve for x
    x = 106,905,478.56/10,353.42
  6. Step 6: Final answer
    x = 10,325.62

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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.