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Finding the Fourth Proportional to 7,068.16, 9,721.60 and 5,667.84

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Solution

The fourth proportional to 7,068.16, 9,721.60 and 5,667.84 is: 7,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.16 : 9,721.60 = 5,667.84 : x
  2. Step 2: Convert to fraction form
    7,068.16/9,721.60 = 5,667.84/x
  3. Step 3: Cross multiply
    7,068.16x = 9,721.60 × 5,667.84
  4. Step 4: Simplify right side
    7,068.16x = 55,100,473.34
  5. Step 5: Solve for x
    x = 55,100,473.34/7,068.16
  6. Step 6: Final answer
    x = 7,795.59

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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.