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Finding the Fourth Proportional to 7,588.67, 11,365.65 and 6,701.76

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Solution

The fourth proportional to 7,588.67, 11,365.65 and 6,701.76 is: 10,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.67 : 11,365.65 = 6,701.76 : x
  2. Step 2: Convert to fraction form
    7,588.67/11,365.65 = 6,701.76/x
  3. Step 3: Cross multiply
    7,588.67x = 11,365.65 × 6,701.76
  4. Step 4: Simplify right side
    7,588.67x = 76,169,858.54
  5. Step 5: Solve for x
    x = 76,169,858.54/7,588.67
  6. Step 6: Final answer
    x = 10,037.32

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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.