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Finding the Fourth Proportional to 8,113.60, 11,196 and 4,969.28

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Solution

The fourth proportional to 8,113.60, 11,196 and 4,969.28 is: 6,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.60 : 11,196 = 4,969.28 : x
  2. Step 2: Convert to fraction form
    8,113.60/11,196 = 4,969.28/x
  3. Step 3: Cross multiply
    8,113.60x = 11,196 × 4,969.28
  4. Step 4: Simplify right side
    8,113.60x = 55,636,058.88
  5. Step 5: Solve for x
    x = 55,636,058.88/8,113.60
  6. Step 6: Final answer
    x = 6,857.14

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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.