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Finding the Fourth Proportional to 10,580.16, 14,600 and 5,800

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Solution

The fourth proportional to 10,580.16, 14,600 and 5,800 is: 8,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.16 : 14,600 = 5,800 : x
  2. Step 2: Convert to fraction form
    10,580.16/14,600 = 5,800/x
  3. Step 3: Cross multiply
    10,580.16x = 14,600 × 5,800
  4. Step 4: Simplify right side
    10,580.16x = 84,680,000
  5. Step 5: Solve for x
    x = 84,680,000/10,580.16
  6. Step 6: Final answer
    x = 8,003.66

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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.