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Finding the Fourth Proportional to 10,052.71, 13,875.64 and 6,074.12

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Solution

The fourth proportional to 10,052.71, 13,875.64 and 6,074.12 is: 8,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.71 : 13,875.64 = 6,074.12 : x
  2. Step 2: Convert to fraction form
    10,052.71/13,875.64 = 6,074.12/x
  3. Step 3: Cross multiply
    10,052.71x = 13,875.64 × 6,074.12
  4. Step 4: Simplify right side
    10,052.71x = 84,282,321.94
  5. Step 5: Solve for x
    x = 84,282,321.94/10,052.71
  6. Step 6: Final answer
    x = 8,384.04

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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.