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Finding the Fourth Proportional to 10,037.06, 13,854.04 and 6,057.50

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Solution

The fourth proportional to 10,037.06, 13,854.04 and 6,057.50 is: 8,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.06 : 13,854.04 = 6,057.50 : x
  2. Step 2: Convert to fraction form
    10,037.06/13,854.04 = 6,057.50/x
  3. Step 3: Cross multiply
    10,037.06x = 13,854.04 × 6,057.50
  4. Step 4: Simplify right side
    10,037.06x = 83,920,847.30
  5. Step 5: Solve for x
    x = 83,920,847.30/10,037.06
  6. Step 6: Final answer
    x = 8,361.10

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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.