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Finding the Fourth Proportional to 10,509.24, 15,763.86 and 4,269.24

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Solution

The fourth proportional to 10,509.24, 15,763.86 and 4,269.24 is: 6,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.24 : 15,763.86 = 4,269.24 : x
  2. Step 2: Convert to fraction form
    10,509.24/15,763.86 = 4,269.24/x
  3. Step 3: Cross multiply
    10,509.24x = 15,763.86 × 4,269.24
  4. Step 4: Simplify right side
    10,509.24x = 67,299,701.67
  5. Step 5: Solve for x
    x = 67,299,701.67/10,509.24
  6. Step 6: Final answer
    x = 6,403.86

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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.