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Finding the Fourth Proportional to 8,894.72, 12,275.52 and 5,168

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Solution

The fourth proportional to 8,894.72, 12,275.52 and 5,168 is: 7,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.72 : 12,275.52 = 5,168 : x
  2. Step 2: Convert to fraction form
    8,894.72/12,275.52 = 5,168/x
  3. Step 3: Cross multiply
    8,894.72x = 12,275.52 × 5,168
  4. Step 4: Simplify right side
    8,894.72x = 63,439,887.36
  5. Step 5: Solve for x
    x = 63,439,887.36/8,894.72
  6. Step 6: Final answer
    x = 7,132.31

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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.