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Finding the Fourth Proportional to 10,093.57, 15,140.16 and 4,543.00

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Solution

The fourth proportional to 10,093.57, 15,140.16 and 4,543.00 is: 6,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.57 : 15,140.16 = 4,543.00 : x
  2. Step 2: Convert to fraction form
    10,093.57/15,140.16 = 4,543.00/x
  3. Step 3: Cross multiply
    10,093.57x = 15,140.16 × 4,543.00
  4. Step 4: Simplify right side
    10,093.57x = 68,781,709.03
  5. Step 5: Solve for x
    x = 68,781,709.03/10,093.57
  6. Step 6: Final answer
    x = 6,814.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.