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Finding the Fourth Proportional to 7,801.31, 11,707.43 and 4,509.87

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Solution

The fourth proportional to 7,801.31, 11,707.43 and 4,509.87 is: 6,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.31 : 11,707.43 = 4,509.87 : x
  2. Step 2: Convert to fraction form
    7,801.31/11,707.43 = 4,509.87/x
  3. Step 3: Cross multiply
    7,801.31x = 11,707.43 × 4,509.87
  4. Step 4: Simplify right side
    7,801.31x = 52,798,987.33
  5. Step 5: Solve for x
    x = 52,798,987.33/7,801.31
  6. Step 6: Final answer
    x = 6,767.96

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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.