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Finding the Fourth Proportional to 10,776.12, 14,867.38 and 6,059.40

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Solution

The fourth proportional to 10,776.12, 14,867.38 and 6,059.40 is: 8,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.12 : 14,867.38 = 6,059.40 : x
  2. Step 2: Convert to fraction form
    10,776.12/14,867.38 = 6,059.40/x
  3. Step 3: Cross multiply
    10,776.12x = 14,867.38 × 6,059.40
  4. Step 4: Simplify right side
    10,776.12x = 90,087,402.37
  5. Step 5: Solve for x
    x = 90,087,402.37/10,776.12
  6. Step 6: Final answer
    x = 8,359.91

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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.