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Finding the Fourth Proportional to 7,350.14, 10,142.90 and 4,365.90

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Solution

The fourth proportional to 7,350.14, 10,142.90 and 4,365.90 is: 6,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.14 : 10,142.90 = 4,365.90 : x
  2. Step 2: Convert to fraction form
    7,350.14/10,142.90 = 4,365.90/x
  3. Step 3: Cross multiply
    7,350.14x = 10,142.90 × 4,365.90
  4. Step 4: Simplify right side
    7,350.14x = 44,282,865.28
  5. Step 5: Solve for x
    x = 44,282,865.28/7,350.14
  6. Step 6: Final answer
    x = 6,024.77

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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.