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Finding the Fourth Proportional to 10,245.32, 15,364.94 and 4,400.57

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Solution

The fourth proportional to 10,245.32, 15,364.94 and 4,400.57 is: 6,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.32 : 15,364.94 = 4,400.57 : x
  2. Step 2: Convert to fraction form
    10,245.32/15,364.94 = 4,400.57/x
  3. Step 3: Cross multiply
    10,245.32x = 15,364.94 × 4,400.57
  4. Step 4: Simplify right side
    10,245.32x = 67,614,417.19
  5. Step 5: Solve for x
    x = 67,614,417.19/10,245.32
  6. Step 6: Final answer
    x = 6,599.54

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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.