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Finding the Fourth Proportional to 10,528.38, 15,774.72 and 6,359.63

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Solution

The fourth proportional to 10,528.38, 15,774.72 and 6,359.63 is: 9,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.38 : 15,774.72 = 6,359.63 : x
  2. Step 2: Convert to fraction form
    10,528.38/15,774.72 = 6,359.63/x
  3. Step 3: Cross multiply
    10,528.38x = 15,774.72 × 6,359.63
  4. Step 4: Simplify right side
    10,528.38x = 100,321,303.68
  5. Step 5: Solve for x
    x = 100,321,303.68/10,528.38
  6. Step 6: Final answer
    x = 9,528.66

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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.