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Finding the Fourth Proportional to 11,417.81, 17,118.41 and 7,710.84

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Solution

The fourth proportional to 11,417.81, 17,118.41 and 7,710.84 is: 11,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.81 : 17,118.41 = 7,710.84 : x
  2. Step 2: Convert to fraction form
    11,417.81/17,118.41 = 7,710.84/x
  3. Step 3: Cross multiply
    11,417.81x = 17,118.41 × 7,710.84
  4. Step 4: Simplify right side
    11,417.81x = 131,997,282.01
  5. Step 5: Solve for x
    x = 131,997,282.01/11,417.81
  6. Step 6: Final answer
    x = 11,560.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.