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Finding the Fourth Proportional to 10,332.66, 14,259.07 and 5,616.94

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Solution

The fourth proportional to 10,332.66, 14,259.07 and 5,616.94 is: 7,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.66 : 14,259.07 = 5,616.94 : x
  2. Step 2: Convert to fraction form
    10,332.66/14,259.07 = 5,616.94/x
  3. Step 3: Cross multiply
    10,332.66x = 14,259.07 × 5,616.94
  4. Step 4: Simplify right side
    10,332.66x = 80,092,312.02
  5. Step 5: Solve for x
    x = 80,092,312.02/10,332.66
  6. Step 6: Final answer
    x = 7,751.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.