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Finding the Fourth Proportional to 11,340.10, 15,649.00 and 6,304.43

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Solution

The fourth proportional to 11,340.10, 15,649.00 and 6,304.43 is: 8,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.10 : 15,649.00 = 6,304.43 : x
  2. Step 2: Convert to fraction form
    11,340.10/15,649.00 = 6,304.43/x
  3. Step 3: Cross multiply
    11,340.10x = 15,649.00 × 6,304.43
  4. Step 4: Simplify right side
    11,340.10x = 98,658,048.43
  5. Step 5: Solve for x
    x = 98,658,048.43/11,340.10
  6. Step 6: Final answer
    x = 8,699.93

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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.