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Finding the Fourth Proportional to 7,730.96, 11,596.33 and 1,887.62

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Solution

The fourth proportional to 7,730.96, 11,596.33 and 1,887.62 is: 2,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.96 : 11,596.33 = 1,887.62 : x
  2. Step 2: Convert to fraction form
    7,730.96/11,596.33 = 1,887.62/x
  3. Step 3: Cross multiply
    7,730.96x = 11,596.33 × 1,887.62
  4. Step 4: Simplify right side
    7,730.96x = 21,889,408.81
  5. Step 5: Solve for x
    x = 21,889,408.81/7,730.96
  6. Step 6: Final answer
    x = 2,831.40

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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.