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Finding the Fourth Proportional to 7,886.63, 11,831.20 and 2,956.66

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Solution

The fourth proportional to 7,886.63, 11,831.20 and 2,956.66 is: 4,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.63 : 11,831.20 = 2,956.66 : x
  2. Step 2: Convert to fraction form
    7,886.63/11,831.20 = 2,956.66/x
  3. Step 3: Cross multiply
    7,886.63x = 11,831.20 × 2,956.66
  4. Step 4: Simplify right side
    7,886.63x = 34,980,798.82
  5. Step 5: Solve for x
    x = 34,980,798.82/7,886.63
  6. Step 6: Final answer
    x = 4,435.45

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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.