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Finding the Fourth Proportional to 10,488.47, 14,474.13 and 6,012.32

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Solution

The fourth proportional to 10,488.47, 14,474.13 and 6,012.32 is: 8,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.47 : 14,474.13 = 6,012.32 : x
  2. Step 2: Convert to fraction form
    10,488.47/14,474.13 = 6,012.32/x
  3. Step 3: Cross multiply
    10,488.47x = 14,474.13 × 6,012.32
  4. Step 4: Simplify right side
    10,488.47x = 87,023,101.28
  5. Step 5: Solve for x
    x = 87,023,101.28/10,488.47
  6. Step 6: Final answer
    x = 8,297.03

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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.