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Finding the Fourth Proportional to 8,782.16, 12,115.32 and 5,054

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Solution

The fourth proportional to 8,782.16, 12,115.32 and 5,054 is: 6,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.16 : 12,115.32 = 5,054 : x
  2. Step 2: Convert to fraction form
    8,782.16/12,115.32 = 5,054/x
  3. Step 3: Cross multiply
    8,782.16x = 12,115.32 × 5,054
  4. Step 4: Simplify right side
    8,782.16x = 61,230,827.28
  5. Step 5: Solve for x
    x = 61,230,827.28/8,782.16
  6. Step 6: Final answer
    x = 6,972.18

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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.