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Finding the Fourth Proportional to 10,011.34, 13,814.44 and 5,534.48

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Solution

The fourth proportional to 10,011.34, 13,814.44 and 5,534.48 is: 7,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.34 : 13,814.44 = 5,534.48 : x
  2. Step 2: Convert to fraction form
    10,011.34/13,814.44 = 5,534.48/x
  3. Step 3: Cross multiply
    10,011.34x = 13,814.44 × 5,534.48
  4. Step 4: Simplify right side
    10,011.34x = 76,455,741.89
  5. Step 5: Solve for x
    x = 76,455,741.89/10,011.34
  6. Step 6: Final answer
    x = 7,636.91

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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.