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Finding the Fourth Proportional to 10,494.88, 14,478.24 and 7,090.79

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Solution

The fourth proportional to 10,494.88, 14,478.24 and 7,090.79 is: 9,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.88 : 14,478.24 = 7,090.79 : x
  2. Step 2: Convert to fraction form
    10,494.88/14,478.24 = 7,090.79/x
  3. Step 3: Cross multiply
    10,494.88x = 14,478.24 × 7,090.79
  4. Step 4: Simplify right side
    10,494.88x = 102,662,140.76
  5. Step 5: Solve for x
    x = 102,662,140.76/10,494.88
  6. Step 6: Final answer
    x = 9,782.12

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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.