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Finding the Fourth Proportional to 10,182.12, 15,262.52 and 4,262.40

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Solution

The fourth proportional to 10,182.12, 15,262.52 and 4,262.40 is: 6,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.12 : 15,262.52 = 4,262.40 : x
  2. Step 2: Convert to fraction form
    10,182.12/15,262.52 = 4,262.40/x
  3. Step 3: Cross multiply
    10,182.12x = 15,262.52 × 4,262.40
  4. Step 4: Simplify right side
    10,182.12x = 65,054,975.90
  5. Step 5: Solve for x
    x = 65,054,975.90/10,182.12
  6. Step 6: Final answer
    x = 6,389.14

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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.