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Finding the Fourth Proportional to 10,281.93, 14,189.09 and 5,566.20

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Solution

The fourth proportional to 10,281.93, 14,189.09 and 5,566.20 is: 7,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.93 : 14,189.09 = 5,566.20 : x
  2. Step 2: Convert to fraction form
    10,281.93/14,189.09 = 5,566.20/x
  3. Step 3: Cross multiply
    10,281.93x = 14,189.09 × 5,566.20
  4. Step 4: Simplify right side
    10,281.93x = 78,979,284.93
  5. Step 5: Solve for x
    x = 78,979,284.93/10,281.93
  6. Step 6: Final answer
    x = 7,681.37

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