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Finding the Fourth Proportional to 7,614.35, 10,498.29 and 5,824.07

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Solution

The fourth proportional to 7,614.35, 10,498.29 and 5,824.07 is: 8,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.35 : 10,498.29 = 5,824.07 : x
  2. Step 2: Convert to fraction form
    7,614.35/10,498.29 = 5,824.07/x
  3. Step 3: Cross multiply
    7,614.35x = 10,498.29 × 5,824.07
  4. Step 4: Simplify right side
    7,614.35x = 61,142,775.84
  5. Step 5: Solve for x
    x = 61,142,775.84/7,614.35
  6. Step 6: Final answer
    x = 8,029.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.