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Finding the Fourth Proportional to 5,140.53, 7,665.65 and 5,093.75

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Solution

The fourth proportional to 5,140.53, 7,665.65 and 5,093.75 is: 7,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.53 : 7,665.65 = 5,093.75 : x
  2. Step 2: Convert to fraction form
    5,140.53/7,665.65 = 5,093.75/x
  3. Step 3: Cross multiply
    5,140.53x = 7,665.65 × 5,093.75
  4. Step 4: Simplify right side
    5,140.53x = 39,046,946.14
  5. Step 5: Solve for x
    x = 39,046,946.14/5,140.53
  6. Step 6: Final answer
    x = 7,595.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.