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Finding the Fourth Proportional to 8,210.86, 12,320.31 and 5,090.04

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Solution

The fourth proportional to 8,210.86, 12,320.31 and 5,090.04 is: 7,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.86 : 12,320.31 = 5,090.04 : x
  2. Step 2: Convert to fraction form
    8,210.86/12,320.31 = 5,090.04/x
  3. Step 3: Cross multiply
    8,210.86x = 12,320.31 × 5,090.04
  4. Step 4: Simplify right side
    8,210.86x = 62,710,783.66
  5. Step 5: Solve for x
    x = 62,710,783.66/8,210.86
  6. Step 6: Final answer
    x = 7,637.55

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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.