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Finding the Fourth Proportional to 8,143.76, 11,238.62 and 4,607.51

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Solution

The fourth proportional to 8,143.76, 11,238.62 and 4,607.51 is: 6,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.76 : 11,238.62 = 4,607.51 : x
  2. Step 2: Convert to fraction form
    8,143.76/11,238.62 = 4,607.51/x
  3. Step 3: Cross multiply
    8,143.76x = 11,238.62 × 4,607.51
  4. Step 4: Simplify right side
    8,143.76x = 51,782,054.04
  5. Step 5: Solve for x
    x = 51,782,054.04/8,143.76
  6. Step 6: Final answer
    x = 6,358.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.