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Finding the Fourth Proportional to 7,071.67, 9,759.33 and 4,088.23

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Solution

The fourth proportional to 7,071.67, 9,759.33 and 4,088.23 is: 5,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.67 : 9,759.33 = 4,088.23 : x
  2. Step 2: Convert to fraction form
    7,071.67/9,759.33 = 4,088.23/x
  3. Step 3: Cross multiply
    7,071.67x = 9,759.33 × 4,088.23
  4. Step 4: Simplify right side
    7,071.67x = 39,898,385.69
  5. Step 5: Solve for x
    x = 39,898,385.69/7,071.67
  6. Step 6: Final answer
    x = 5,642.00

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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.