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Finding the Fourth Proportional to 11,322.16, 15,626.43 and 6,287.98

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Solution

The fourth proportional to 11,322.16, 15,626.43 and 6,287.98 is: 8,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.16 : 15,626.43 = 6,287.98 : x
  2. Step 2: Convert to fraction form
    11,322.16/15,626.43 = 6,287.98/x
  3. Step 3: Cross multiply
    11,322.16x = 15,626.43 × 6,287.98
  4. Step 4: Simplify right side
    11,322.16x = 98,258,679.31
  5. Step 5: Solve for x
    x = 98,258,679.31/11,322.16
  6. Step 6: Final answer
    x = 8,678.44

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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.