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Finding the Fourth Proportional to 7,773.30, 10,726.56 and 4,416.17

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Solution

The fourth proportional to 7,773.30, 10,726.56 and 4,416.17 is: 6,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.30 : 10,726.56 = 4,416.17 : x
  2. Step 2: Convert to fraction form
    7,773.30/10,726.56 = 4,416.17/x
  3. Step 3: Cross multiply
    7,773.30x = 10,726.56 × 4,416.17
  4. Step 4: Simplify right side
    7,773.30x = 47,370,258.84
  5. Step 5: Solve for x
    x = 47,370,258.84/7,773.30
  6. Step 6: Final answer
    x = 6,093.97

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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.