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Finding the Fourth Proportional to 10,487.94, 14,473.70 and 6,012.54

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Solution

The fourth proportional to 10,487.94, 14,473.70 and 6,012.54 is: 8,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.94 : 14,473.70 = 6,012.54 : x
  2. Step 2: Convert to fraction form
    10,487.94/14,473.70 = 6,012.54/x
  3. Step 3: Cross multiply
    10,487.94x = 14,473.70 × 6,012.54
  4. Step 4: Simplify right side
    10,487.94x = 87,023,700.20
  5. Step 5: Solve for x
    x = 87,023,700.20/10,487.94
  6. Step 6: Final answer
    x = 8,297.50

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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.