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Finding the Fourth Proportional to 11,340.30, 15,649.53 and 6,304.98

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Solution

The fourth proportional to 11,340.30, 15,649.53 and 6,304.98 is: 8,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.30 : 15,649.53 = 6,304.98 : x
  2. Step 2: Convert to fraction form
    11,340.30/15,649.53 = 6,304.98/x
  3. Step 3: Cross multiply
    11,340.30x = 15,649.53 × 6,304.98
  4. Step 4: Simplify right side
    11,340.30x = 98,669,973.66
  5. Step 5: Solve for x
    x = 98,669,973.66/11,340.30
  6. Step 6: Final answer
    x = 8,700.83

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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.