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Finding the Fourth Proportional to 10,649.32, 14,696.28 and 6,174.52

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Solution

The fourth proportional to 10,649.32, 14,696.28 and 6,174.52 is: 8,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.32 : 14,696.28 = 6,174.52 : x
  2. Step 2: Convert to fraction form
    10,649.32/14,696.28 = 6,174.52/x
  3. Step 3: Cross multiply
    10,649.32x = 14,696.28 × 6,174.52
  4. Step 4: Simplify right side
    10,649.32x = 90,742,474.79
  5. Step 5: Solve for x
    x = 90,742,474.79/10,649.32
  6. Step 6: Final answer
    x = 8,520.96

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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.