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Finding the Fourth Proportional to 7,596.26, 11,386.42 and 4,259.61

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Solution

The fourth proportional to 7,596.26, 11,386.42 and 4,259.61 is: 6,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.26 : 11,386.42 = 4,259.61 : x
  2. Step 2: Convert to fraction form
    7,596.26/11,386.42 = 4,259.61/x
  3. Step 3: Cross multiply
    7,596.26x = 11,386.42 × 4,259.61
  4. Step 4: Simplify right side
    7,596.26x = 48,501,753.83
  5. Step 5: Solve for x
    x = 48,501,753.83/7,596.26
  6. Step 6: Final answer
    x = 6,384.96

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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.