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Finding the Fourth Proportional to 10,646.16, 14,690.34 and 5,929.80

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Solution

The fourth proportional to 10,646.16, 14,690.34 and 5,929.80 is: 8,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.16 : 14,690.34 = 5,929.80 : x
  2. Step 2: Convert to fraction form
    10,646.16/14,690.34 = 5,929.80/x
  3. Step 3: Cross multiply
    10,646.16x = 14,690.34 × 5,929.80
  4. Step 4: Simplify right side
    10,646.16x = 87,110,778.13
  5. Step 5: Solve for x
    x = 87,110,778.13/10,646.16
  6. Step 6: Final answer
    x = 8,182.37

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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.