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Finding the Fourth Proportional to 10,654.02, 15,977.79 and 3,259.53

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Solution

The fourth proportional to 10,654.02, 15,977.79 and 3,259.53 is: 4,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.02 : 15,977.79 = 3,259.53 : x
  2. Step 2: Convert to fraction form
    10,654.02/15,977.79 = 3,259.53/x
  3. Step 3: Cross multiply
    10,654.02x = 15,977.79 × 3,259.53
  4. Step 4: Simplify right side
    10,654.02x = 52,080,085.84
  5. Step 5: Solve for x
    x = 52,080,085.84/10,654.02
  6. Step 6: Final answer
    x = 4,888.30

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Why These Related Problems?

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