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Finding the Fourth Proportional to 10,034.30, 15,051.50 and 4,114.42

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Solution

The fourth proportional to 10,034.30, 15,051.50 and 4,114.42 is: 6,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.30 : 15,051.50 = 4,114.42 : x
  2. Step 2: Convert to fraction form
    10,034.30/15,051.50 = 4,114.42/x
  3. Step 3: Cross multiply
    10,034.30x = 15,051.50 × 4,114.42
  4. Step 4: Simplify right side
    10,034.30x = 61,928,192.63
  5. Step 5: Solve for x
    x = 61,928,192.63/10,034.30
  6. Step 6: Final answer
    x = 6,171.65

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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.