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Finding the Fourth Proportional to 10,859.00, 14,984.70 and 6,078.11

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Solution

The fourth proportional to 10,859.00, 14,984.70 and 6,078.11 is: 8,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.00 : 14,984.70 = 6,078.11 : x
  2. Step 2: Convert to fraction form
    10,859.00/14,984.70 = 6,078.11/x
  3. Step 3: Cross multiply
    10,859.00x = 14,984.70 × 6,078.11
  4. Step 4: Simplify right side
    10,859.00x = 91,078,557.20
  5. Step 5: Solve for x
    x = 91,078,557.20/10,859.00
  6. Step 6: Final answer
    x = 8,387.38

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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.