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Finding the Fourth Proportional to 7,116.35, 9,808.97 and 5,697.54

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Solution

The fourth proportional to 7,116.35, 9,808.97 and 5,697.54 is: 7,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.35 : 9,808.97 = 5,697.54 : x
  2. Step 2: Convert to fraction form
    7,116.35/9,808.97 = 5,697.54/x
  3. Step 3: Cross multiply
    7,116.35x = 9,808.97 × 5,697.54
  4. Step 4: Simplify right side
    7,116.35x = 55,886,970.45
  5. Step 5: Solve for x
    x = 55,886,970.45/7,116.35
  6. Step 6: Final answer
    x = 7,853.33

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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.