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Finding the Fourth Proportional to 10,416.39, 15,632.28 and 7,650.24

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Solution

The fourth proportional to 10,416.39, 15,632.28 and 7,650.24 is: 11,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.39 : 15,632.28 = 7,650.24 : x
  2. Step 2: Convert to fraction form
    10,416.39/15,632.28 = 7,650.24/x
  3. Step 3: Cross multiply
    10,416.39x = 15,632.28 × 7,650.24
  4. Step 4: Simplify right side
    10,416.39x = 119,590,693.75
  5. Step 5: Solve for x
    x = 119,590,693.75/10,416.39
  6. Step 6: Final answer
    x = 11,481.01

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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.