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Finding the Fourth Proportional to 7,801.64, 10,766.96 and 4,443.75

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Solution

The fourth proportional to 7,801.64, 10,766.96 and 4,443.75 is: 6,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.64 : 10,766.96 = 4,443.75 : x
  2. Step 2: Convert to fraction form
    7,801.64/10,766.96 = 4,443.75/x
  3. Step 3: Cross multiply
    7,801.64x = 10,766.96 × 4,443.75
  4. Step 4: Simplify right side
    7,801.64x = 47,845,678.50
  5. Step 5: Solve for x
    x = 47,845,678.50/7,801.64
  6. Step 6: Final answer
    x = 6,132.77

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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.