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Finding the Fourth Proportional to 10,203.12, 15,303.72 and 3,182.88

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Solution

The fourth proportional to 10,203.12, 15,303.72 and 3,182.88 is: 4,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.12 : 15,303.72 = 3,182.88 : x
  2. Step 2: Convert to fraction form
    10,203.12/15,303.72 = 3,182.88/x
  3. Step 3: Cross multiply
    10,203.12x = 15,303.72 × 3,182.88
  4. Step 4: Simplify right side
    10,203.12x = 48,709,904.31
  5. Step 5: Solve for x
    x = 48,709,904.31/10,203.12
  6. Step 6: Final answer
    x = 4,774.02

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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.