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Finding the Fourth Proportional to 10,454.64, 15,670.11 and 5,193.32

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Solution

The fourth proportional to 10,454.64, 15,670.11 and 5,193.32 is: 7,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.64 : 15,670.11 = 5,193.32 : x
  2. Step 2: Convert to fraction form
    10,454.64/15,670.11 = 5,193.32/x
  3. Step 3: Cross multiply
    10,454.64x = 15,670.11 × 5,193.32
  4. Step 4: Simplify right side
    10,454.64x = 81,379,807.58
  5. Step 5: Solve for x
    x = 81,379,807.58/10,454.64
  6. Step 6: Final answer
    x = 7,784.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.