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Finding the Fourth Proportional to 10,069.65, 13,898.34 and 5,594.94

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Solution

The fourth proportional to 10,069.65, 13,898.34 and 5,594.94 is: 7,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.65 : 13,898.34 = 5,594.94 : x
  2. Step 2: Convert to fraction form
    10,069.65/13,898.34 = 5,594.94/x
  3. Step 3: Cross multiply
    10,069.65x = 13,898.34 × 5,594.94
  4. Step 4: Simplify right side
    10,069.65x = 77,760,378.40
  5. Step 5: Solve for x
    x = 77,760,378.40/10,069.65
  6. Step 6: Final answer
    x = 7,722.25

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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.