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Finding the Fourth Proportional to 10,653.64, 14,701.38 and 5,873.32

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Solution

The fourth proportional to 10,653.64, 14,701.38 and 5,873.32 is: 8,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.64 : 14,701.38 = 5,873.32 : x
  2. Step 2: Convert to fraction form
    10,653.64/14,701.38 = 5,873.32/x
  3. Step 3: Cross multiply
    10,653.64x = 14,701.38 × 5,873.32
  4. Step 4: Simplify right side
    10,653.64x = 86,345,909.18
  5. Step 5: Solve for x
    x = 86,345,909.18/10,653.64
  6. Step 6: Final answer
    x = 8,104.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.