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Finding the Fourth Proportional to 11,301, 16,948.36 and 6,297.22

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Solution

The fourth proportional to 11,301, 16,948.36 and 6,297.22 is: 9,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301 : 16,948.36 = 6,297.22 : x
  2. Step 2: Convert to fraction form
    11,301/16,948.36 = 6,297.22/x
  3. Step 3: Cross multiply
    11,301x = 16,948.36 × 6,297.22
  4. Step 4: Simplify right side
    11,301x = 106,727,551.56
  5. Step 5: Solve for x
    x = 106,727,551.56/11,301
  6. Step 6: Final answer
    x = 9,444.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.