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Finding the Fourth Proportional to 7,666.02, 11,494.08 and 5,197.14

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Solution

The fourth proportional to 7,666.02, 11,494.08 and 5,197.14 is: 7,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.02 : 11,494.08 = 5,197.14 : x
  2. Step 2: Convert to fraction form
    7,666.02/11,494.08 = 5,197.14/x
  3. Step 3: Cross multiply
    7,666.02x = 11,494.08 × 5,197.14
  4. Step 4: Simplify right side
    7,666.02x = 59,736,342.93
  5. Step 5: Solve for x
    x = 59,736,342.93/7,666.02
  6. Step 6: Final answer
    x = 7,792.35

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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.