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Finding the Fourth Proportional to 10,497.80, 15,749.03 and 5,824.71

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Solution

The fourth proportional to 10,497.80, 15,749.03 and 5,824.71 is: 8,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.80 : 15,749.03 = 5,824.71 : x
  2. Step 2: Convert to fraction form
    10,497.80/15,749.03 = 5,824.71/x
  3. Step 3: Cross multiply
    10,497.80x = 15,749.03 × 5,824.71
  4. Step 4: Simplify right side
    10,497.80x = 91,733,547.09
  5. Step 5: Solve for x
    x = 91,733,547.09/10,497.80
  6. Step 6: Final answer
    x = 8,738.36

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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.