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Finding the Fourth Proportional to 10,023.12, 15,036.03 and 4,178.36

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Solution

The fourth proportional to 10,023.12, 15,036.03 and 4,178.36 is: 6,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.12 : 15,036.03 = 4,178.36 : x
  2. Step 2: Convert to fraction form
    10,023.12/15,036.03 = 4,178.36/x
  3. Step 3: Cross multiply
    10,023.12x = 15,036.03 × 4,178.36
  4. Step 4: Simplify right side
    10,023.12x = 62,825,871.13
  5. Step 5: Solve for x
    x = 62,825,871.13/10,023.12
  6. Step 6: Final answer
    x = 6,268.10

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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.