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Finding the Fourth Proportional to 10,824.99, 16,242.62 and 7,498.35

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Solution

The fourth proportional to 10,824.99, 16,242.62 and 7,498.35 is: 11,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.99 : 16,242.62 = 7,498.35 : x
  2. Step 2: Convert to fraction form
    10,824.99/16,242.62 = 7,498.35/x
  3. Step 3: Cross multiply
    10,824.99x = 16,242.62 × 7,498.35
  4. Step 4: Simplify right side
    10,824.99x = 121,792,812.19
  5. Step 5: Solve for x
    x = 121,792,812.19/10,824.99
  6. Step 6: Final answer
    x = 11,251.08

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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.