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Finding the Fourth Proportional to 10,417.69, 15,619.57 and 5,739.94

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Solution

The fourth proportional to 10,417.69, 15,619.57 and 5,739.94 is: 8,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.69 : 15,619.57 = 5,739.94 : x
  2. Step 2: Convert to fraction form
    10,417.69/15,619.57 = 5,739.94/x
  3. Step 3: Cross multiply
    10,417.69x = 15,619.57 × 5,739.94
  4. Step 4: Simplify right side
    10,417.69x = 89,655,394.63
  5. Step 5: Solve for x
    x = 89,655,394.63/10,417.69
  6. Step 6: Final answer
    x = 8,606.07

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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.