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Finding the Fourth Proportional to 7,774.68, 10,729.28 and 4,417.60

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Solution

The fourth proportional to 7,774.68, 10,729.28 and 4,417.60 is: 6,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.68 : 10,729.28 = 4,417.60 : x
  2. Step 2: Convert to fraction form
    7,774.68/10,729.28 = 4,417.60/x
  3. Step 3: Cross multiply
    7,774.68x = 10,729.28 × 4,417.60
  4. Step 4: Simplify right side
    7,774.68x = 47,397,667.33
  5. Step 5: Solve for x
    x = 47,397,667.33/7,774.68
  6. Step 6: Final answer
    x = 6,096.41

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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.