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Finding the Fourth Proportional to 7,720.36, 11,594.20 and 7,102.74

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Solution

The fourth proportional to 7,720.36, 11,594.20 and 7,102.74 is: 10,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.36 : 11,594.20 = 7,102.74 : x
  2. Step 2: Convert to fraction form
    7,720.36/11,594.20 = 7,102.74/x
  3. Step 3: Cross multiply
    7,720.36x = 11,594.20 × 7,102.74
  4. Step 4: Simplify right side
    7,720.36x = 82,350,588.11
  5. Step 5: Solve for x
    x = 82,350,588.11/7,720.36
  6. Step 6: Final answer
    x = 10,666.68

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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.