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Finding the Fourth Proportional to 10,069.56, 13,896.72 and 5,594.76

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Solution

The fourth proportional to 10,069.56, 13,896.72 and 5,594.76 is: 7,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.56 : 13,896.72 = 5,594.76 : x
  2. Step 2: Convert to fraction form
    10,069.56/13,896.72 = 5,594.76/x
  3. Step 3: Cross multiply
    10,069.56x = 13,896.72 × 5,594.76
  4. Step 4: Simplify right side
    10,069.56x = 77,748,813.19
  5. Step 5: Solve for x
    x = 77,748,813.19/10,069.56
  6. Step 6: Final answer
    x = 7,721.17

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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.