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Finding the Fourth Proportional to 10,010.14, 13,814 and 5,533.89

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Solution

The fourth proportional to 10,010.14, 13,814 and 5,533.89 is: 7,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.14 : 13,814 = 5,533.89 : x
  2. Step 2: Convert to fraction form
    10,010.14/13,814 = 5,533.89/x
  3. Step 3: Cross multiply
    10,010.14x = 13,814 × 5,533.89
  4. Step 4: Simplify right side
    10,010.14x = 76,445,156.46
  5. Step 5: Solve for x
    x = 76,445,156.46/10,010.14
  6. Step 6: Final answer
    x = 7,636.77

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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.