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Finding the Fourth Proportional to 10,705.54, 14,773.31 and 5,925.20

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Solution

The fourth proportional to 10,705.54, 14,773.31 and 5,925.20 is: 8,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.54 : 14,773.31 = 5,925.20 : x
  2. Step 2: Convert to fraction form
    10,705.54/14,773.31 = 5,925.20/x
  3. Step 3: Cross multiply
    10,705.54x = 14,773.31 × 5,925.20
  4. Step 4: Simplify right side
    10,705.54x = 87,534,816.41
  5. Step 5: Solve for x
    x = 87,534,816.41/10,705.54
  6. Step 6: Final answer
    x = 8,176.59

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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.