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Finding the Fourth Proportional to 10,235.92, 15,357.63 and 4,314.30

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Solution

The fourth proportional to 10,235.92, 15,357.63 and 4,314.30 is: 6,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.92 : 15,357.63 = 4,314.30 : x
  2. Step 2: Convert to fraction form
    10,235.92/15,357.63 = 4,314.30/x
  3. Step 3: Cross multiply
    10,235.92x = 15,357.63 × 4,314.30
  4. Step 4: Simplify right side
    10,235.92x = 66,257,381.70
  5. Step 5: Solve for x
    x = 66,257,381.70/10,235.92
  6. Step 6: Final answer
    x = 6,473.03

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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.