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Finding the Fourth Proportional to 7,778.17, 11,666.16 and 2,231.99

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Solution

The fourth proportional to 7,778.17, 11,666.16 and 2,231.99 is: 3,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.17 : 11,666.16 = 2,231.99 : x
  2. Step 2: Convert to fraction form
    7,778.17/11,666.16 = 2,231.99/x
  3. Step 3: Cross multiply
    7,778.17x = 11,666.16 × 2,231.99
  4. Step 4: Simplify right side
    7,778.17x = 26,038,752.46
  5. Step 5: Solve for x
    x = 26,038,752.46/7,778.17
  6. Step 6: Final answer
    x = 3,347.67

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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.