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Finding the Fourth Proportional to 11,780.48, 17,666.04 and 5,202

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Solution

The fourth proportional to 11,780.48, 17,666.04 and 5,202 is: 7,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.48 : 17,666.04 = 5,202 : x
  2. Step 2: Convert to fraction form
    11,780.48/17,666.04 = 5,202/x
  3. Step 3: Cross multiply
    11,780.48x = 17,666.04 × 5,202
  4. Step 4: Simplify right side
    11,780.48x = 91,898,740.08
  5. Step 5: Solve for x
    x = 91,898,740.08/11,780.48
  6. Step 6: Final answer
    x = 7,800.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.