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Finding the Fourth Proportional to 10,404.05, 14,357.64 and 5,688.33

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Solution

The fourth proportional to 10,404.05, 14,357.64 and 5,688.33 is: 7,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.05 : 14,357.64 = 5,688.33 : x
  2. Step 2: Convert to fraction form
    10,404.05/14,357.64 = 5,688.33/x
  3. Step 3: Cross multiply
    10,404.05x = 14,357.64 × 5,688.33
  4. Step 4: Simplify right side
    10,404.05x = 81,670,973.01
  5. Step 5: Solve for x
    x = 81,670,973.01/10,404.05
  6. Step 6: Final answer
    x = 7,849.92

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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.