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Finding the Fourth Proportional to 7,308, 10,086.84 and 4,166.01

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Solution

The fourth proportional to 7,308, 10,086.84 and 4,166.01 is: 5,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308 : 10,086.84 = 4,166.01 : x
  2. Step 2: Convert to fraction form
    7,308/10,086.84 = 4,166.01/x
  3. Step 3: Cross multiply
    7,308x = 10,086.84 × 4,166.01
  4. Step 4: Simplify right side
    7,308x = 42,021,876.31
  5. Step 5: Solve for x
    x = 42,021,876.31/7,308
  6. Step 6: Final answer
    x = 5,750.12

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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.