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Finding the Fourth Proportional to 7,118.51, 9,822.80 and 4,133.77

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Solution

The fourth proportional to 7,118.51, 9,822.80 and 4,133.77 is: 5,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.51 : 9,822.80 = 4,133.77 : x
  2. Step 2: Convert to fraction form
    7,118.51/9,822.80 = 4,133.77/x
  3. Step 3: Cross multiply
    7,118.51x = 9,822.80 × 4,133.77
  4. Step 4: Simplify right side
    7,118.51x = 40,605,195.96
  5. Step 5: Solve for x
    x = 40,605,195.96/7,118.51
  6. Step 6: Final answer
    x = 5,704.17

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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.