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Finding the Fourth Proportional to 10,649.34, 15,973.88 and 4,801.82

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Solution

The fourth proportional to 10,649.34, 15,973.88 and 4,801.82 is: 7,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.34 : 15,973.88 = 4,801.82 : x
  2. Step 2: Convert to fraction form
    10,649.34/15,973.88 = 4,801.82/x
  3. Step 3: Cross multiply
    10,649.34x = 15,973.88 × 4,801.82
  4. Step 4: Simplify right side
    10,649.34x = 76,703,592.58
  5. Step 5: Solve for x
    x = 76,703,592.58/10,649.34
  6. Step 6: Final answer
    x = 7,202.66

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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.