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Finding the Fourth Proportional to 10,651.87, 14,699.68 and 5,871.99

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Solution

The fourth proportional to 10,651.87, 14,699.68 and 5,871.99 is: 8,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.87 : 14,699.68 = 5,871.99 : x
  2. Step 2: Convert to fraction form
    10,651.87/14,699.68 = 5,871.99/x
  3. Step 3: Cross multiply
    10,651.87x = 14,699.68 × 5,871.99
  4. Step 4: Simplify right side
    10,651.87x = 86,316,373.96
  5. Step 5: Solve for x
    x = 86,316,373.96/10,651.87
  6. Step 6: Final answer
    x = 8,103.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.