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Finding the Fourth Proportional to 8,643.69, 11,928.58 and 5,288.00

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Solution

The fourth proportional to 8,643.69, 11,928.58 and 5,288.00 is: 7,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.69 : 11,928.58 = 5,288.00 : x
  2. Step 2: Convert to fraction form
    8,643.69/11,928.58 = 5,288.00/x
  3. Step 3: Cross multiply
    8,643.69x = 11,928.58 × 5,288.00
  4. Step 4: Simplify right side
    8,643.69x = 63,078,258.18
  5. Step 5: Solve for x
    x = 63,078,258.18/8,643.69
  6. Step 6: Final answer
    x = 7,297.61

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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.