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Finding the Fourth Proportional to 10,404.19, 14,357.78 and 5,688.47

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Solution

The fourth proportional to 10,404.19, 14,357.78 and 5,688.47 is: 7,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.19 : 14,357.78 = 5,688.47 : x
  2. Step 2: Convert to fraction form
    10,404.19/14,357.78 = 5,688.47/x
  3. Step 3: Cross multiply
    10,404.19x = 14,357.78 × 5,688.47
  4. Step 4: Simplify right side
    10,404.19x = 81,673,800.80
  5. Step 5: Solve for x
    x = 81,673,800.80/10,404.19
  6. Step 6: Final answer
    x = 7,850.09

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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.