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Finding the Fourth Proportional to 10,256.30, 15,357.06 and 6,538.40

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Solution

The fourth proportional to 10,256.30, 15,357.06 and 6,538.40 is: 9,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.30 : 15,357.06 = 6,538.40 : x
  2. Step 2: Convert to fraction form
    10,256.30/15,357.06 = 6,538.40/x
  3. Step 3: Cross multiply
    10,256.30x = 15,357.06 × 6,538.40
  4. Step 4: Simplify right side
    10,256.30x = 100,410,601.10
  5. Step 5: Solve for x
    x = 100,410,601.10/10,256.30
  6. Step 6: Final answer
    x = 9,790.14

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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.