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Finding the Fourth Proportional to 7,622.16, 11,416.80 and 5,145.99

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Solution

The fourth proportional to 7,622.16, 11,416.80 and 5,145.99 is: 7,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.16 : 11,416.80 = 5,145.99 : x
  2. Step 2: Convert to fraction form
    7,622.16/11,416.80 = 5,145.99/x
  3. Step 3: Cross multiply
    7,622.16x = 11,416.80 × 5,145.99
  4. Step 4: Simplify right side
    7,622.16x = 58,750,738.63
  5. Step 5: Solve for x
    x = 58,750,738.63/7,622.16
  6. Step 6: Final answer
    x = 7,707.89

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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.