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Finding the Fourth Proportional to 10,828.26, 14,943 and 5,860.26

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Solution

The fourth proportional to 10,828.26, 14,943 and 5,860.26 is: 8,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.26 : 14,943 = 5,860.26 : x
  2. Step 2: Convert to fraction form
    10,828.26/14,943 = 5,860.26/x
  3. Step 3: Cross multiply
    10,828.26x = 14,943 × 5,860.26
  4. Step 4: Simplify right side
    10,828.26x = 87,569,865.18
  5. Step 5: Solve for x
    x = 87,569,865.18/10,828.26
  6. Step 6: Final answer
    x = 8,087.16

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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.