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Finding the Fourth Proportional to 10,743.44, 16,095 and 6,347.84

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Solution

The fourth proportional to 10,743.44, 16,095 and 6,347.84 is: 9,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.44 : 16,095 = 6,347.84 : x
  2. Step 2: Convert to fraction form
    10,743.44/16,095 = 6,347.84/x
  3. Step 3: Cross multiply
    10,743.44x = 16,095 × 6,347.84
  4. Step 4: Simplify right side
    10,743.44x = 102,168,484.80
  5. Step 5: Solve for x
    x = 102,168,484.80/10,743.44
  6. Step 6: Final answer
    x = 9,509.85

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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.