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Finding the Fourth Proportional to 8,235.24, 11,364.02 and 4,649.98

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Solution

The fourth proportional to 8,235.24, 11,364.02 and 4,649.98 is: 6,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.24 : 11,364.02 = 4,649.98 : x
  2. Step 2: Convert to fraction form
    8,235.24/11,364.02 = 4,649.98/x
  3. Step 3: Cross multiply
    8,235.24x = 11,364.02 × 4,649.98
  4. Step 4: Simplify right side
    8,235.24x = 52,842,465.72
  5. Step 5: Solve for x
    x = 52,842,465.72/8,235.24
  6. Step 6: Final answer
    x = 6,416.63

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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.