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Finding the Fourth Proportional to 11,565.77, 15,967.62 and 7,593.84

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Solution

The fourth proportional to 11,565.77, 15,967.62 and 7,593.84 is: 10,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.77 : 15,967.62 = 7,593.84 : x
  2. Step 2: Convert to fraction form
    11,565.77/15,967.62 = 7,593.84/x
  3. Step 3: Cross multiply
    11,565.77x = 15,967.62 × 7,593.84
  4. Step 4: Simplify right side
    11,565.77x = 121,255,551.46
  5. Step 5: Solve for x
    x = 121,255,551.46/11,565.77
  6. Step 6: Final answer
    x = 10,484.01

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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.