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Finding the Fourth Proportional to 7,871.04, 10,861.95 and 4,334.16

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Solution

The fourth proportional to 7,871.04, 10,861.95 and 4,334.16 is: 5,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.04 : 10,861.95 = 4,334.16 : x
  2. Step 2: Convert to fraction form
    7,871.04/10,861.95 = 4,334.16/x
  3. Step 3: Cross multiply
    7,871.04x = 10,861.95 × 4,334.16
  4. Step 4: Simplify right side
    7,871.04x = 47,077,429.21
  5. Step 5: Solve for x
    x = 47,077,429.21/7,871.04
  6. Step 6: Final answer
    x = 5,981.09

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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.