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Finding the Fourth Proportional to 7,871.04, 10,864.98 and 5,219.34

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Solution

The fourth proportional to 7,871.04, 10,864.98 and 5,219.34 is: 7,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.04 : 10,864.98 = 5,219.34 : x
  2. Step 2: Convert to fraction form
    7,871.04/10,864.98 = 5,219.34/x
  3. Step 3: Cross multiply
    7,871.04x = 10,864.98 × 5,219.34
  4. Step 4: Simplify right side
    7,871.04x = 56,708,024.71
  5. Step 5: Solve for x
    x = 56,708,024.71/7,871.04
  6. Step 6: Final answer
    x = 7,204.64

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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.