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Finding the Fourth Proportional to 10,494.97, 14,468.56 and 7,505.60

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Solution

The fourth proportional to 10,494.97, 14,468.56 and 7,505.60 is: 10,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.97 : 14,468.56 = 7,505.60 : x
  2. Step 2: Convert to fraction form
    10,494.97/14,468.56 = 7,505.60/x
  3. Step 3: Cross multiply
    10,494.97x = 14,468.56 × 7,505.60
  4. Step 4: Simplify right side
    10,494.97x = 108,595,132.83
  5. Step 5: Solve for x
    x = 108,595,132.83/10,494.97
  6. Step 6: Final answer
    x = 10,347.35

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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.