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Finding the Fourth Proportional to 11,795.52, 16,277.76 and 7,317.84

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Solution

The fourth proportional to 11,795.52, 16,277.76 and 7,317.84 is: 10,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.52 : 16,277.76 = 7,317.84 : x
  2. Step 2: Convert to fraction form
    11,795.52/16,277.76 = 7,317.84/x
  3. Step 3: Cross multiply
    11,795.52x = 16,277.76 × 7,317.84
  4. Step 4: Simplify right side
    11,795.52x = 119,118,043.24
  5. Step 5: Solve for x
    x = 119,118,043.24/11,795.52
  6. Step 6: Final answer
    x = 10,098.58

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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.