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Finding the Fourth Proportional to 7,111.35, 9,813.66 and 3,967.53

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Solution

The fourth proportional to 7,111.35, 9,813.66 and 3,967.53 is: 5,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.35 : 9,813.66 = 3,967.53 : x
  2. Step 2: Convert to fraction form
    7,111.35/9,813.66 = 3,967.53/x
  3. Step 3: Cross multiply
    7,111.35x = 9,813.66 × 3,967.53
  4. Step 4: Simplify right side
    7,111.35x = 38,935,990.46
  5. Step 5: Solve for x
    x = 38,935,990.46/7,111.35
  6. Step 6: Final answer
    x = 5,475.19

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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.