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Finding the Fourth Proportional to 10,332.99, 14,259.81 and 5,856.59

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Solution

The fourth proportional to 10,332.99, 14,259.81 and 5,856.59 is: 8,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.99 : 14,259.81 = 5,856.59 : x
  2. Step 2: Convert to fraction form
    10,332.99/14,259.81 = 5,856.59/x
  3. Step 3: Cross multiply
    10,332.99x = 14,259.81 × 5,856.59
  4. Step 4: Simplify right side
    10,332.99x = 83,513,789.35
  5. Step 5: Solve for x
    x = 83,513,789.35/10,332.99
  6. Step 6: Final answer
    x = 8,082.25

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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.