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Finding the Fourth Proportional to 6,066.36, 8,366.09 and 5,645.16

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Solution

The fourth proportional to 6,066.36, 8,366.09 and 5,645.16 is: 7,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.36 : 8,366.09 = 5,645.16 : x
  2. Step 2: Convert to fraction form
    6,066.36/8,366.09 = 5,645.16/x
  3. Step 3: Cross multiply
    6,066.36x = 8,366.09 × 5,645.16
  4. Step 4: Simplify right side
    6,066.36x = 47,227,888.40
  5. Step 5: Solve for x
    x = 47,227,888.40/6,066.36
  6. Step 6: Final answer
    x = 7,785.21

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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.