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Finding the Fourth Proportional to 8,509.60, 11,748 and 5,995.36

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Solution

The fourth proportional to 8,509.60, 11,748 and 5,995.36 is: 8,276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.60 : 11,748 = 5,995.36 : x
  2. Step 2: Convert to fraction form
    8,509.60/11,748 = 5,995.36/x
  3. Step 3: Cross multiply
    8,509.60x = 11,748 × 5,995.36
  4. Step 4: Simplify right side
    8,509.60x = 70,433,489.28
  5. Step 5: Solve for x
    x = 70,433,489.28/8,509.60
  6. Step 6: Final answer
    x = 8,276.94

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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.