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Finding the Fourth Proportional to 11,678.72, 16,124.97 and 7,208.53

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Solution

The fourth proportional to 11,678.72, 16,124.97 and 7,208.53 is: 9,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.72 : 16,124.97 = 7,208.53 : x
  2. Step 2: Convert to fraction form
    11,678.72/16,124.97 = 7,208.53/x
  3. Step 3: Cross multiply
    11,678.72x = 16,124.97 × 7,208.53
  4. Step 4: Simplify right side
    11,678.72x = 116,237,316.71
  5. Step 5: Solve for x
    x = 116,237,316.71/11,678.72
  6. Step 6: Final answer
    x = 9,952.92

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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.