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Finding the Fourth Proportional to 10,493.55, 15,751.26 and 4,654.26

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Solution

The fourth proportional to 10,493.55, 15,751.26 and 4,654.26 is: 6,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.55 : 15,751.26 = 4,654.26 : x
  2. Step 2: Convert to fraction form
    10,493.55/15,751.26 = 4,654.26/x
  3. Step 3: Cross multiply
    10,493.55x = 15,751.26 × 4,654.26
  4. Step 4: Simplify right side
    10,493.55x = 73,310,459.37
  5. Step 5: Solve for x
    x = 73,310,459.37/10,493.55
  6. Step 6: Final answer
    x = 6,986.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.