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Finding the Fourth Proportional to 7,210.13, 9,950.57 and 4,066.97

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Solution

The fourth proportional to 7,210.13, 9,950.57 and 4,066.97 is: 5,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.13 : 9,950.57 = 4,066.97 : x
  2. Step 2: Convert to fraction form
    7,210.13/9,950.57 = 4,066.97/x
  3. Step 3: Cross multiply
    7,210.13x = 9,950.57 × 4,066.97
  4. Step 4: Simplify right side
    7,210.13x = 40,468,649.34
  5. Step 5: Solve for x
    x = 40,468,649.34/7,210.13
  6. Step 6: Final answer
    x = 5,612.75

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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.