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Finding the Fourth Proportional to 7,342.29, 10,115.25 and 6,008.22

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Solution

The fourth proportional to 7,342.29, 10,115.25 and 6,008.22 is: 8,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.29 : 10,115.25 = 6,008.22 : x
  2. Step 2: Convert to fraction form
    7,342.29/10,115.25 = 6,008.22/x
  3. Step 3: Cross multiply
    7,342.29x = 10,115.25 × 6,008.22
  4. Step 4: Simplify right side
    7,342.29x = 60,774,647.36
  5. Step 5: Solve for x
    x = 60,774,647.36/7,342.29
  6. Step 6: Final answer
    x = 8,277.34

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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.