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Finding the Fourth Proportional to 10,006.53, 13,808.11 and 5,756.46

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Solution

The fourth proportional to 10,006.53, 13,808.11 and 5,756.46 is: 7,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.53 : 13,808.11 = 5,756.46 : x
  2. Step 2: Convert to fraction form
    10,006.53/13,808.11 = 5,756.46/x
  3. Step 3: Cross multiply
    10,006.53x = 13,808.11 × 5,756.46
  4. Step 4: Simplify right side
    10,006.53x = 79,485,832.89
  5. Step 5: Solve for x
    x = 79,485,832.89/10,006.53
  6. Step 6: Final answer
    x = 7,943.40

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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.