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Finding the Fourth Proportional to 10,580, 14,600.40 and 5,865

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Solution

The fourth proportional to 10,580, 14,600.40 and 5,865 is: 8,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580 : 14,600.40 = 5,865 : x
  2. Step 2: Convert to fraction form
    10,580/14,600.40 = 5,865/x
  3. Step 3: Cross multiply
    10,580x = 14,600.40 × 5,865
  4. Step 4: Simplify right side
    10,580x = 85,631,346
  5. Step 5: Solve for x
    x = 85,631,346/10,580
  6. Step 6: Final answer
    x = 8,093.70

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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.