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Finding the Fourth Proportional to 7,135.48, 10,705.92 and 3,237.22

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Solution

The fourth proportional to 7,135.48, 10,705.92 and 3,237.22 is: 4,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.48 : 10,705.92 = 3,237.22 : x
  2. Step 2: Convert to fraction form
    7,135.48/10,705.92 = 3,237.22/x
  3. Step 3: Cross multiply
    7,135.48x = 10,705.92 × 3,237.22
  4. Step 4: Simplify right side
    7,135.48x = 34,657,418.34
  5. Step 5: Solve for x
    x = 34,657,418.34/7,135.48
  6. Step 6: Final answer
    x = 4,857.05

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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.