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Finding the Fourth Proportional to 7,164.36, 9,886.17 and 4,180.46

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Solution

The fourth proportional to 7,164.36, 9,886.17 and 4,180.46 is: 5,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.36 : 9,886.17 = 4,180.46 : x
  2. Step 2: Convert to fraction form
    7,164.36/9,886.17 = 4,180.46/x
  3. Step 3: Cross multiply
    7,164.36x = 9,886.17 × 4,180.46
  4. Step 4: Simplify right side
    7,164.36x = 41,328,688.81
  5. Step 5: Solve for x
    x = 41,328,688.81/7,164.36
  6. Step 6: Final answer
    x = 5,768.65

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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.