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Finding the Fourth Proportional to 10,388.53, 14,336.14 and 5,672.80

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Solution

The fourth proportional to 10,388.53, 14,336.14 and 5,672.80 is: 7,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.53 : 14,336.14 = 5,672.80 : x
  2. Step 2: Convert to fraction form
    10,388.53/14,336.14 = 5,672.80/x
  3. Step 3: Cross multiply
    10,388.53x = 14,336.14 × 5,672.80
  4. Step 4: Simplify right side
    10,388.53x = 81,326,054.99
  5. Step 5: Solve for x
    x = 81,326,054.99/10,388.53
  6. Step 6: Final answer
    x = 7,828.45

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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.