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Finding the Fourth Proportional to 10,641.66, 14,683.78 and 5,925.03

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Solution

The fourth proportional to 10,641.66, 14,683.78 and 5,925.03 is: 8,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.66 : 14,683.78 = 5,925.03 : x
  2. Step 2: Convert to fraction form
    10,641.66/14,683.78 = 5,925.03/x
  3. Step 3: Cross multiply
    10,641.66x = 14,683.78 × 5,925.03
  4. Step 4: Simplify right side
    10,641.66x = 87,001,837.01
  5. Step 5: Solve for x
    x = 87,001,837.01/10,641.66
  6. Step 6: Final answer
    x = 8,175.59

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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.