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Finding the Fourth Proportional to 7,071.36, 9,760.26 and 4,088.92

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Solution

The fourth proportional to 7,071.36, 9,760.26 and 4,088.92 is: 5,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.36 : 9,760.26 = 4,088.92 : x
  2. Step 2: Convert to fraction form
    7,071.36/9,760.26 = 4,088.92/x
  3. Step 3: Cross multiply
    7,071.36x = 9,760.26 × 4,088.92
  4. Step 4: Simplify right side
    7,071.36x = 39,908,922.32
  5. Step 5: Solve for x
    x = 39,908,922.32/7,071.36
  6. Step 6: Final answer
    x = 5,643.74

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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.