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Finding the Fourth Proportional to 8,509.92, 11,739 and 5,153.76

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Solution

The fourth proportional to 8,509.92, 11,739 and 5,153.76 is: 7,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.92 : 11,739 = 5,153.76 : x
  2. Step 2: Convert to fraction form
    8,509.92/11,739 = 5,153.76/x
  3. Step 3: Cross multiply
    8,509.92x = 11,739 × 5,153.76
  4. Step 4: Simplify right side
    8,509.92x = 60,499,988.64
  5. Step 5: Solve for x
    x = 60,499,988.64/8,509.92
  6. Step 6: Final answer
    x = 7,109.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.