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Finding the Fourth Proportional to 10,386.56, 14,333.90 and 5,911.11

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Solution

The fourth proportional to 10,386.56, 14,333.90 and 5,911.11 is: 8,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.56 : 14,333.90 = 5,911.11 : x
  2. Step 2: Convert to fraction form
    10,386.56/14,333.90 = 5,911.11/x
  3. Step 3: Cross multiply
    10,386.56x = 14,333.90 × 5,911.11
  4. Step 4: Simplify right side
    10,386.56x = 84,729,230.07
  5. Step 5: Solve for x
    x = 84,729,230.07/10,386.56
  6. Step 6: Final answer
    x = 8,157.58

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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.