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Finding the Fourth Proportional to 8,242.83, 12,364.25 and 4,782.51

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Solution

The fourth proportional to 8,242.83, 12,364.25 and 4,782.51 is: 7,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.83 : 12,364.25 = 4,782.51 : x
  2. Step 2: Convert to fraction form
    8,242.83/12,364.25 = 4,782.51/x
  3. Step 3: Cross multiply
    8,242.83x = 12,364.25 × 4,782.51
  4. Step 4: Simplify right side
    8,242.83x = 59,132,125.35
  5. Step 5: Solve for x
    x = 59,132,125.35/8,242.83
  6. Step 6: Final answer
    x = 7,173.77

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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.