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Finding the Fourth Proportional to 10,025.88, 15,036 and 3,005.58

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Solution

The fourth proportional to 10,025.88, 15,036 and 3,005.58 is: 4,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.88 : 15,036 = 3,005.58 : x
  2. Step 2: Convert to fraction form
    10,025.88/15,036 = 3,005.58/x
  3. Step 3: Cross multiply
    10,025.88x = 15,036 × 3,005.58
  4. Step 4: Simplify right side
    10,025.88x = 45,191,900.88
  5. Step 5: Solve for x
    x = 45,191,900.88/10,025.88
  6. Step 6: Final answer
    x = 4,507.52

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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.