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Finding the Fourth Proportional to 7,221.89, 9,968.38 and 4,570.16

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Solution

The fourth proportional to 7,221.89, 9,968.38 and 4,570.16 is: 6,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.89 : 9,968.38 = 4,570.16 : x
  2. Step 2: Convert to fraction form
    7,221.89/9,968.38 = 4,570.16/x
  3. Step 3: Cross multiply
    7,221.89x = 9,968.38 × 4,570.16
  4. Step 4: Simplify right side
    7,221.89x = 45,557,030.27
  5. Step 5: Solve for x
    x = 45,557,030.27/7,221.89
  6. Step 6: Final answer
    x = 6,308.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.