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Finding the Fourth Proportional to 10,407.45, 15,608.34 and 4,562.64

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Solution

The fourth proportional to 10,407.45, 15,608.34 and 4,562.64 is: 6,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.45 : 15,608.34 = 4,562.64 : x
  2. Step 2: Convert to fraction form
    10,407.45/15,608.34 = 4,562.64/x
  3. Step 3: Cross multiply
    10,407.45x = 15,608.34 × 4,562.64
  4. Step 4: Simplify right side
    10,407.45x = 71,215,236.42
  5. Step 5: Solve for x
    x = 71,215,236.42/10,407.45
  6. Step 6: Final answer
    x = 6,842.72

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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.