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Finding the Fourth Proportional to 8,342.20, 11,507.25 and 5,509.63

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Solution

The fourth proportional to 8,342.20, 11,507.25 and 5,509.63 is: 7,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.20 : 11,507.25 = 5,509.63 : x
  2. Step 2: Convert to fraction form
    8,342.20/11,507.25 = 5,509.63/x
  3. Step 3: Cross multiply
    8,342.20x = 11,507.25 × 5,509.63
  4. Step 4: Simplify right side
    8,342.20x = 63,400,689.82
  5. Step 5: Solve for x
    x = 63,400,689.82/8,342.20
  6. Step 6: Final answer
    x = 7,600.00

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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.