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Finding the Fourth Proportional to 10,756.02, 14,843.92 and 7,164.74

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Solution

The fourth proportional to 10,756.02, 14,843.92 and 7,164.74 is: 9,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.02 : 14,843.92 = 7,164.74 : x
  2. Step 2: Convert to fraction form
    10,756.02/14,843.92 = 7,164.74/x
  3. Step 3: Cross multiply
    10,756.02x = 14,843.92 × 7,164.74
  4. Step 4: Simplify right side
    10,756.02x = 106,352,827.38
  5. Step 5: Solve for x
    x = 106,352,827.38/10,756.02
  6. Step 6: Final answer
    x = 9,887.75

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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.