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Finding the Fourth Proportional to 10,297.01, 14,209.74 and 5,581.26

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Solution

The fourth proportional to 10,297.01, 14,209.74 and 5,581.26 is: 7,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.01 : 14,209.74 = 5,581.26 : x
  2. Step 2: Convert to fraction form
    10,297.01/14,209.74 = 5,581.26/x
  3. Step 3: Cross multiply
    10,297.01x = 14,209.74 × 5,581.26
  4. Step 4: Simplify right side
    10,297.01x = 79,308,253.47
  5. Step 5: Solve for x
    x = 79,308,253.47/10,297.01
  6. Step 6: Final answer
    x = 7,702.07

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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.