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Finding the Fourth Proportional to 10,645.17, 14,690.51 and 5,929.46

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Solution

The fourth proportional to 10,645.17, 14,690.51 and 5,929.46 is: 8,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.17 : 14,690.51 = 5,929.46 : x
  2. Step 2: Convert to fraction form
    10,645.17/14,690.51 = 5,929.46/x
  3. Step 3: Cross multiply
    10,645.17x = 14,690.51 × 5,929.46
  4. Step 4: Simplify right side
    10,645.17x = 87,106,791.42
  5. Step 5: Solve for x
    x = 87,106,791.42/10,645.17
  6. Step 6: Final answer
    x = 8,182.75

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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.