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Finding the Fourth Proportional to 10,010.21, 13,805.70 and 7,498.22

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Solution

The fourth proportional to 10,010.21, 13,805.70 and 7,498.22 is: 10,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.21 : 13,805.70 = 7,498.22 : x
  2. Step 2: Convert to fraction form
    10,010.21/13,805.70 = 7,498.22/x
  3. Step 3: Cross multiply
    10,010.21x = 13,805.70 × 7,498.22
  4. Step 4: Simplify right side
    10,010.21x = 103,518,175.85
  5. Step 5: Solve for x
    x = 103,518,175.85/10,010.21
  6. Step 6: Final answer
    x = 10,341.26

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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.