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Finding the Fourth Proportional to 10,640.36, 14,683.80 and 5,924.74

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Solution

The fourth proportional to 10,640.36, 14,683.80 and 5,924.74 is: 8,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.36 : 14,683.80 = 5,924.74 : x
  2. Step 2: Convert to fraction form
    10,640.36/14,683.80 = 5,924.74/x
  3. Step 3: Cross multiply
    10,640.36x = 14,683.80 × 5,924.74
  4. Step 4: Simplify right side
    10,640.36x = 86,997,719.11
  5. Step 5: Solve for x
    x = 86,997,719.11/10,640.36
  6. Step 6: Final answer
    x = 8,176.20

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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.