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Finding the Fourth Proportional to 8,235.90, 12,356.49 and 2,970.86

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Solution

The fourth proportional to 8,235.90, 12,356.49 and 2,970.86 is: 4,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.90 : 12,356.49 = 2,970.86 : x
  2. Step 2: Convert to fraction form
    8,235.90/12,356.49 = 2,970.86/x
  3. Step 3: Cross multiply
    8,235.90x = 12,356.49 × 2,970.86
  4. Step 4: Simplify right side
    8,235.90x = 36,709,470.79
  5. Step 5: Solve for x
    x = 36,709,470.79/8,235.90
  6. Step 6: Final answer
    x = 4,457.25

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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.