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Finding the Fourth Proportional to 7,774.44, 11,652.36 and 4,480.68

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Solution

The fourth proportional to 7,774.44, 11,652.36 and 4,480.68 is: 6,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.44 : 11,652.36 = 4,480.68 : x
  2. Step 2: Convert to fraction form
    7,774.44/11,652.36 = 4,480.68/x
  3. Step 3: Cross multiply
    7,774.44x = 11,652.36 × 4,480.68
  4. Step 4: Simplify right side
    7,774.44x = 52,210,496.40
  5. Step 5: Solve for x
    x = 52,210,496.40/7,774.44
  6. Step 6: Final answer
    x = 6,715.66

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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.