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Finding the Fourth Proportional to 10,498.92, 14,486.40 and 7,980.36

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Solution

The fourth proportional to 10,498.92, 14,486.40 and 7,980.36 is: 11,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.92 : 14,486.40 = 7,980.36 : x
  2. Step 2: Convert to fraction form
    10,498.92/14,486.40 = 7,980.36/x
  3. Step 3: Cross multiply
    10,498.92x = 14,486.40 × 7,980.36
  4. Step 4: Simplify right side
    10,498.92x = 115,606,687.10
  5. Step 5: Solve for x
    x = 115,606,687.10/10,498.92
  6. Step 6: Final answer
    x = 11,011.29

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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.