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Finding the Fourth Proportional to 11,417.46, 17,114.59 and 7,720.11

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Solution

The fourth proportional to 11,417.46, 17,114.59 and 7,720.11 is: 11,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.46 : 17,114.59 = 7,720.11 : x
  2. Step 2: Convert to fraction form
    11,417.46/17,114.59 = 7,720.11/x
  3. Step 3: Cross multiply
    11,417.46x = 17,114.59 × 7,720.11
  4. Step 4: Simplify right side
    11,417.46x = 132,126,527.06
  5. Step 5: Solve for x
    x = 132,126,527.06/11,417.46
  6. Step 6: Final answer
    x = 11,572.33

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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.