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Finding the Fourth Proportional to 8,106, 11,186.18 and 4,569.24

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Solution

The fourth proportional to 8,106, 11,186.18 and 4,569.24 is: 6,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106 : 11,186.18 = 4,569.24 : x
  2. Step 2: Convert to fraction form
    8,106/11,186.18 = 4,569.24/x
  3. Step 3: Cross multiply
    8,106x = 11,186.18 × 4,569.24
  4. Step 4: Simplify right side
    8,106x = 51,112,341.10
  5. Step 5: Solve for x
    x = 51,112,341.10/8,106
  6. Step 6: Final answer
    x = 6,305.49

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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.