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Finding the Fourth Proportional to 7,566.86, 11,353.52 and 6,922.10

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Solution

The fourth proportional to 7,566.86, 11,353.52 and 6,922.10 is: 10,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.86 : 11,353.52 = 6,922.10 : x
  2. Step 2: Convert to fraction form
    7,566.86/11,353.52 = 6,922.10/x
  3. Step 3: Cross multiply
    7,566.86x = 11,353.52 × 6,922.10
  4. Step 4: Simplify right side
    7,566.86x = 78,590,109.41
  5. Step 5: Solve for x
    x = 78,590,109.41/7,566.86
  6. Step 6: Final answer
    x = 10,386.10

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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.