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Finding the Fourth Proportional to 10,281.94, 14,189.07 and 5,566.22

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Solution

The fourth proportional to 10,281.94, 14,189.07 and 5,566.22 is: 7,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.94 : 14,189.07 = 5,566.22 : x
  2. Step 2: Convert to fraction form
    10,281.94/14,189.07 = 5,566.22/x
  3. Step 3: Cross multiply
    10,281.94x = 14,189.07 × 5,566.22
  4. Step 4: Simplify right side
    10,281.94x = 78,979,488.35
  5. Step 5: Solve for x
    x = 78,979,488.35/10,281.94
  6. Step 6: Final answer
    x = 7,681.38

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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.