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Finding the Fourth Proportional to 6,756.95, 10,140.62 and 4,416.32

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Solution

The fourth proportional to 6,756.95, 10,140.62 and 4,416.32 is: 6,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.95 : 10,140.62 = 4,416.32 : x
  2. Step 2: Convert to fraction form
    6,756.95/10,140.62 = 4,416.32/x
  3. Step 3: Cross multiply
    6,756.95x = 10,140.62 × 4,416.32
  4. Step 4: Simplify right side
    6,756.95x = 44,784,150.13
  5. Step 5: Solve for x
    x = 44,784,150.13/6,756.95
  6. Step 6: Final answer
    x = 6,627.87

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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.