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Finding the Fourth Proportional to 8,012.48, 11,056.86 and 4,475

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Solution

The fourth proportional to 8,012.48, 11,056.86 and 4,475 is: 6,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.48 : 11,056.86 = 4,475 : x
  2. Step 2: Convert to fraction form
    8,012.48/11,056.86 = 4,475/x
  3. Step 3: Cross multiply
    8,012.48x = 11,056.86 × 4,475
  4. Step 4: Simplify right side
    8,012.48x = 49,479,448.50
  5. Step 5: Solve for x
    x = 49,479,448.50/8,012.48
  6. Step 6: Final answer
    x = 6,175.30

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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.