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Finding the Fourth Proportional to 10,010.90, 13,814.84 and 5,534.84

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Solution

The fourth proportional to 10,010.90, 13,814.84 and 5,534.84 is: 7,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.90 : 13,814.84 = 5,534.84 : x
  2. Step 2: Convert to fraction form
    10,010.90/13,814.84 = 5,534.84/x
  3. Step 3: Cross multiply
    10,010.90x = 13,814.84 × 5,534.84
  4. Step 4: Simplify right side
    10,010.90x = 76,462,901.35
  5. Step 5: Solve for x
    x = 76,462,901.35/10,010.90
  6. Step 6: Final answer
    x = 7,637.96

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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.