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Finding the Fourth Proportional to 11,315.24, 15,624.22 and 7,071.26

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Solution

The fourth proportional to 11,315.24, 15,624.22 and 7,071.26 is: 9,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.24 : 15,624.22 = 7,071.26 : x
  2. Step 2: Convert to fraction form
    11,315.24/15,624.22 = 7,071.26/x
  3. Step 3: Cross multiply
    11,315.24x = 15,624.22 × 7,071.26
  4. Step 4: Simplify right side
    11,315.24x = 110,482,921.92
  5. Step 5: Solve for x
    x = 110,482,921.92/11,315.24
  6. Step 6: Final answer
    x = 9,764.08

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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.