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Finding the Fourth Proportional to 10,446.87, 14,418.80 and 7,090.76

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Solution

The fourth proportional to 10,446.87, 14,418.80 and 7,090.76 is: 9,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.87 : 14,418.80 = 7,090.76 : x
  2. Step 2: Convert to fraction form
    10,446.87/14,418.80 = 7,090.76/x
  3. Step 3: Cross multiply
    10,446.87x = 14,418.80 × 7,090.76
  4. Step 4: Simplify right side
    10,446.87x = 102,240,250.29
  5. Step 5: Solve for x
    x = 102,240,250.29/10,446.87
  6. Step 6: Final answer
    x = 9,786.69

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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.