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Finding the Fourth Proportional to 10,784.22, 14,864.31 and 7,421.34

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Solution

The fourth proportional to 10,784.22, 14,864.31 and 7,421.34 is: 10,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.22 : 14,864.31 = 7,421.34 : x
  2. Step 2: Convert to fraction form
    10,784.22/14,864.31 = 7,421.34/x
  3. Step 3: Cross multiply
    10,784.22x = 14,864.31 × 7,421.34
  4. Step 4: Simplify right side
    10,784.22x = 110,313,098.38
  5. Step 5: Solve for x
    x = 110,313,098.38/10,784.22
  6. Step 6: Final answer
    x = 10,229.12

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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.