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Finding the Fourth Proportional to 7,159.96, 10,729.86 and 5,692.60

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Solution

The fourth proportional to 7,159.96, 10,729.86 and 5,692.60 is: 8,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.96 : 10,729.86 = 5,692.60 : x
  2. Step 2: Convert to fraction form
    7,159.96/10,729.86 = 5,692.60/x
  3. Step 3: Cross multiply
    7,159.96x = 10,729.86 × 5,692.60
  4. Step 4: Simplify right side
    7,159.96x = 61,080,801.04
  5. Step 5: Solve for x
    x = 61,080,801.04/7,159.96
  6. Step 6: Final answer
    x = 8,530.89

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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.