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Finding the Fourth Proportional to 10,400.31, 14,346.99 and 7,044.30

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Solution

The fourth proportional to 10,400.31, 14,346.99 and 7,044.30 is: 9,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.31 : 14,346.99 = 7,044.30 : x
  2. Step 2: Convert to fraction form
    10,400.31/14,346.99 = 7,044.30/x
  3. Step 3: Cross multiply
    10,400.31x = 14,346.99 × 7,044.30
  4. Step 4: Simplify right side
    10,400.31x = 101,064,501.66
  5. Step 5: Solve for x
    x = 101,064,501.66/10,400.31
  6. Step 6: Final answer
    x = 9,717.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.