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Finding the Fourth Proportional to 7,659.42, 11,492.23 and 5,192.83

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Solution

The fourth proportional to 7,659.42, 11,492.23 and 5,192.83 is: 7,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.42 : 11,492.23 = 5,192.83 : x
  2. Step 2: Convert to fraction form
    7,659.42/11,492.23 = 5,192.83/x
  3. Step 3: Cross multiply
    7,659.42x = 11,492.23 × 5,192.83
  4. Step 4: Simplify right side
    7,659.42x = 59,677,196.71
  5. Step 5: Solve for x
    x = 59,677,196.71/7,659.42
  6. Step 6: Final answer
    x = 7,791.35

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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.