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Finding the Fourth Proportional to 10,788.31, 14,887.50 and 6,071.68

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Solution

The fourth proportional to 10,788.31, 14,887.50 and 6,071.68 is: 8,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.31 : 14,887.50 = 6,071.68 : x
  2. Step 2: Convert to fraction form
    10,788.31/14,887.50 = 6,071.68/x
  3. Step 3: Cross multiply
    10,788.31x = 14,887.50 × 6,071.68
  4. Step 4: Simplify right side
    10,788.31x = 90,392,136
  5. Step 5: Solve for x
    x = 90,392,136/10,788.31
  6. Step 6: Final answer
    x = 8,378.71

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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.