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Finding the Fourth Proportional to 10,069.36, 13,895.43 and 5,593

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Solution

The fourth proportional to 10,069.36, 13,895.43 and 5,593 is: 7,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.36 : 13,895.43 = 5,593 : x
  2. Step 2: Convert to fraction form
    10,069.36/13,895.43 = 5,593/x
  3. Step 3: Cross multiply
    10,069.36x = 13,895.43 × 5,593
  4. Step 4: Simplify right side
    10,069.36x = 77,717,139.99
  5. Step 5: Solve for x
    x = 77,717,139.99/10,069.36
  6. Step 6: Final answer
    x = 7,718.18

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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.