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Finding the Fourth Proportional to 10,538.54, 15,820.02 and 6,159.14

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Solution

The fourth proportional to 10,538.54, 15,820.02 and 6,159.14 is: 9,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.54 : 15,820.02 = 6,159.14 : x
  2. Step 2: Convert to fraction form
    10,538.54/15,820.02 = 6,159.14/x
  3. Step 3: Cross multiply
    10,538.54x = 15,820.02 × 6,159.14
  4. Step 4: Simplify right side
    10,538.54x = 97,437,638.88
  5. Step 5: Solve for x
    x = 97,437,638.88/10,538.54
  6. Step 6: Final answer
    x = 9,245.84

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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.