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Finding the Fourth Proportional to 7,928.67, 10,931.20 and 6,821.51

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Solution

The fourth proportional to 7,928.67, 10,931.20 and 6,821.51 is: 9,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.67 : 10,931.20 = 6,821.51 : x
  2. Step 2: Convert to fraction form
    7,928.67/10,931.20 = 6,821.51/x
  3. Step 3: Cross multiply
    7,928.67x = 10,931.20 × 6,821.51
  4. Step 4: Simplify right side
    7,928.67x = 74,567,218.40
  5. Step 5: Solve for x
    x = 74,567,218.40/7,928.67
  6. Step 6: Final answer
    x = 9,404.75

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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.