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Finding the Fourth Proportional to 8,242.63, 12,303.99 and 7,633.51

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Solution

The fourth proportional to 8,242.63, 12,303.99 and 7,633.51 is: 11,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.63 : 12,303.99 = 7,633.51 : x
  2. Step 2: Convert to fraction form
    8,242.63/12,303.99 = 7,633.51/x
  3. Step 3: Cross multiply
    8,242.63x = 12,303.99 × 7,633.51
  4. Step 4: Simplify right side
    8,242.63x = 93,922,592.54
  5. Step 5: Solve for x
    x = 93,922,592.54/8,242.63
  6. Step 6: Final answer
    x = 11,394.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.