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Finding the Fourth Proportional to 10,669.26, 14,722.88 and 6,419.53

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Solution

The fourth proportional to 10,669.26, 14,722.88 and 6,419.53 is: 8,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.26 : 14,722.88 = 6,419.53 : x
  2. Step 2: Convert to fraction form
    10,669.26/14,722.88 = 6,419.53/x
  3. Step 3: Cross multiply
    10,669.26x = 14,722.88 × 6,419.53
  4. Step 4: Simplify right side
    10,669.26x = 94,513,900.94
  5. Step 5: Solve for x
    x = 94,513,900.94/10,669.26
  6. Step 6: Final answer
    x = 8,858.52

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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.