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Finding the Fourth Proportional to 10,332.63, 15,464.52 and 7,853.58

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Solution

The fourth proportional to 10,332.63, 15,464.52 and 7,853.58 is: 11,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.63 : 15,464.52 = 7,853.58 : x
  2. Step 2: Convert to fraction form
    10,332.63/15,464.52 = 7,853.58/x
  3. Step 3: Cross multiply
    10,332.63x = 15,464.52 × 7,853.58
  4. Step 4: Simplify right side
    10,332.63x = 121,451,844.98
  5. Step 5: Solve for x
    x = 121,451,844.98/10,332.63
  6. Step 6: Final answer
    x = 11,754.20

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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.