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Finding the Fourth Proportional to 10,970.02, 16,464.75 and 5,708.77

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Solution

The fourth proportional to 10,970.02, 16,464.75 and 5,708.77 is: 8,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.02 : 16,464.75 = 5,708.77 : x
  2. Step 2: Convert to fraction form
    10,970.02/16,464.75 = 5,708.77/x
  3. Step 3: Cross multiply
    10,970.02x = 16,464.75 × 5,708.77
  4. Step 4: Simplify right side
    10,970.02x = 93,993,470.86
  5. Step 5: Solve for x
    x = 93,993,470.86/10,970.02
  6. Step 6: Final answer
    x = 8,568.21

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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.