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Finding the Fourth Proportional to 10,565.33, 14,580.38 and 5,785.48

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Solution

The fourth proportional to 10,565.33, 14,580.38 and 5,785.48 is: 7,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.33 : 14,580.38 = 5,785.48 : x
  2. Step 2: Convert to fraction form
    10,565.33/14,580.38 = 5,785.48/x
  3. Step 3: Cross multiply
    10,565.33x = 14,580.38 × 5,785.48
  4. Step 4: Simplify right side
    10,565.33x = 84,354,474.90
  5. Step 5: Solve for x
    x = 84,354,474.90/10,565.33
  6. Step 6: Final answer
    x = 7,984.08

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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.