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Finding the Fourth Proportional to 10,657.48, 14,707.50 and 5,941.24

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Solution

The fourth proportional to 10,657.48, 14,707.50 and 5,941.24 is: 8,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.48 : 14,707.50 = 5,941.24 : x
  2. Step 2: Convert to fraction form
    10,657.48/14,707.50 = 5,941.24/x
  3. Step 3: Cross multiply
    10,657.48x = 14,707.50 × 5,941.24
  4. Step 4: Simplify right side
    10,657.48x = 87,380,787.30
  5. Step 5: Solve for x
    x = 87,380,787.30/10,657.48
  6. Step 6: Final answer
    x = 8,199.01

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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.