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Finding the Fourth Proportional to 11,530.84, 15,911.48 and 6,814.20

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Solution

The fourth proportional to 11,530.84, 15,911.48 and 6,814.20 is: 9,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.84 : 15,911.48 = 6,814.20 : x
  2. Step 2: Convert to fraction form
    11,530.84/15,911.48 = 6,814.20/x
  3. Step 3: Cross multiply
    11,530.84x = 15,911.48 × 6,814.20
  4. Step 4: Simplify right side
    11,530.84x = 108,424,007.02
  5. Step 5: Solve for x
    x = 108,424,007.02/11,530.84
  6. Step 6: Final answer
    x = 9,402.96

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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.