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Finding the Fourth Proportional to 10,645.64, 14,690.40 and 5,929.08

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Solution

The fourth proportional to 10,645.64, 14,690.40 and 5,929.08 is: 8,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.64 : 14,690.40 = 5,929.08 : x
  2. Step 2: Convert to fraction form
    10,645.64/14,690.40 = 5,929.08/x
  3. Step 3: Cross multiply
    10,645.64x = 14,690.40 × 5,929.08
  4. Step 4: Simplify right side
    10,645.64x = 87,100,556.83
  5. Step 5: Solve for x
    x = 87,100,556.83/10,645.64
  6. Step 6: Final answer
    x = 8,181.81

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