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Finding the Fourth Proportional to 10,045.26, 13,860.99 and 5,569

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Solution

The fourth proportional to 10,045.26, 13,860.99 and 5,569 is: 7,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.26 : 13,860.99 = 5,569 : x
  2. Step 2: Convert to fraction form
    10,045.26/13,860.99 = 5,569/x
  3. Step 3: Cross multiply
    10,045.26x = 13,860.99 × 5,569
  4. Step 4: Simplify right side
    10,045.26x = 77,191,853.31
  5. Step 5: Solve for x
    x = 77,191,853.31/10,045.26
  6. Step 6: Final answer
    x = 7,684.41

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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.