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Finding the Fourth Proportional to 10,001.98, 13,802.49 and 5,526.16

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Solution

The fourth proportional to 10,001.98, 13,802.49 and 5,526.16 is: 7,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.98 : 13,802.49 = 5,526.16 : x
  2. Step 2: Convert to fraction form
    10,001.98/13,802.49 = 5,526.16/x
  3. Step 3: Cross multiply
    10,001.98x = 13,802.49 × 5,526.16
  4. Step 4: Simplify right side
    10,001.98x = 76,274,768.14
  5. Step 5: Solve for x
    x = 76,274,768.14/10,001.98
  6. Step 6: Final answer
    x = 7,625.97

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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.