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Finding the Fourth Proportional to 11,289.84, 15,580.80 and 6,814.68

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Solution

The fourth proportional to 11,289.84, 15,580.80 and 6,814.68 is: 9,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.84 : 15,580.80 = 6,814.68 : x
  2. Step 2: Convert to fraction form
    11,289.84/15,580.80 = 6,814.68/x
  3. Step 3: Cross multiply
    11,289.84x = 15,580.80 × 6,814.68
  4. Step 4: Simplify right side
    11,289.84x = 106,178,166.14
  5. Step 5: Solve for x
    x = 106,178,166.14/11,289.84
  6. Step 6: Final answer
    x = 9,404.75

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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.