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Finding the Fourth Proportional to 10,420.53, 14,376.76 and 5,941.05

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Solution

The fourth proportional to 10,420.53, 14,376.76 and 5,941.05 is: 8,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.53 : 14,376.76 = 5,941.05 : x
  2. Step 2: Convert to fraction form
    10,420.53/14,376.76 = 5,941.05/x
  3. Step 3: Cross multiply
    10,420.53x = 14,376.76 × 5,941.05
  4. Step 4: Simplify right side
    10,420.53x = 85,413,050.00
  5. Step 5: Solve for x
    x = 85,413,050.00/10,420.53
  6. Step 6: Final answer
    x = 8,196.61

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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.