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Finding the Fourth Proportional to 8,886.16, 12,258.84 and 5,158

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Solution

The fourth proportional to 8,886.16, 12,258.84 and 5,158 is: 7,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,886.16 : 12,258.84 = 5,158 : x
  2. Step 2: Convert to fraction form
    8,886.16/12,258.84 = 5,158/x
  3. Step 3: Cross multiply
    8,886.16x = 12,258.84 × 5,158
  4. Step 4: Simplify right side
    8,886.16x = 63,231,096.72
  5. Step 5: Solve for x
    x = 63,231,096.72/8,886.16
  6. Step 6: Final answer
    x = 7,115.68

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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.