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Finding the Fourth Proportional to 11,582.96, 17,398.51 and 9,364.30

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Solution

The fourth proportional to 11,582.96, 17,398.51 and 9,364.30 is: 14,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.96 : 17,398.51 = 9,364.30 : x
  2. Step 2: Convert to fraction form
    11,582.96/17,398.51 = 9,364.30/x
  3. Step 3: Cross multiply
    11,582.96x = 17,398.51 × 9,364.30
  4. Step 4: Simplify right side
    11,582.96x = 162,924,867.19
  5. Step 5: Solve for x
    x = 162,924,867.19/11,582.96
  6. Step 6: Final answer
    x = 14,065.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.