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Finding the Fourth Proportional to 10,580.36, 14,594.24 and 6,808.42

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Solution

The fourth proportional to 10,580.36, 14,594.24 and 6,808.42 is: 9,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.36 : 14,594.24 = 6,808.42 : x
  2. Step 2: Convert to fraction form
    10,580.36/14,594.24 = 6,808.42/x
  3. Step 3: Cross multiply
    10,580.36x = 14,594.24 × 6,808.42
  4. Step 4: Simplify right side
    10,580.36x = 99,363,715.50
  5. Step 5: Solve for x
    x = 99,363,715.50/10,580.36
  6. Step 6: Final answer
    x = 9,391.34

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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.