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Finding the Fourth Proportional to 7,765.16, 10,716.91 and 4,409.08

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Solution

The fourth proportional to 7,765.16, 10,716.91 and 4,409.08 is: 6,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.16 : 10,716.91 = 4,409.08 : x
  2. Step 2: Convert to fraction form
    7,765.16/10,716.91 = 4,409.08/x
  3. Step 3: Cross multiply
    7,765.16x = 10,716.91 × 4,409.08
  4. Step 4: Simplify right side
    7,765.16x = 47,251,675.73
  5. Step 5: Solve for x
    x = 47,251,675.73/7,765.16
  6. Step 6: Final answer
    x = 6,085.09

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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.