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Finding the Fourth Proportional to 10,539.45, 14,543.81 and 5,758.44

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Solution

The fourth proportional to 10,539.45, 14,543.81 and 5,758.44 is: 7,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.45 : 14,543.81 = 5,758.44 : x
  2. Step 2: Convert to fraction form
    10,539.45/14,543.81 = 5,758.44/x
  3. Step 3: Cross multiply
    10,539.45x = 14,543.81 × 5,758.44
  4. Step 4: Simplify right side
    10,539.45x = 83,749,657.26
  5. Step 5: Solve for x
    x = 83,749,657.26/10,539.45
  6. Step 6: Final answer
    x = 7,946.30

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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.