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Finding the Fourth Proportional to 10,498.45, 14,487.73 and 5,782.63

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Solution

The fourth proportional to 10,498.45, 14,487.73 and 5,782.63 is: 7,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.45 : 14,487.73 = 5,782.63 : x
  2. Step 2: Convert to fraction form
    10,498.45/14,487.73 = 5,782.63/x
  3. Step 3: Cross multiply
    10,498.45x = 14,487.73 × 5,782.63
  4. Step 4: Simplify right side
    10,498.45x = 83,777,182.13
  5. Step 5: Solve for x
    x = 83,777,182.13/10,498.45
  6. Step 6: Final answer
    x = 7,979.96

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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.