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Finding the Fourth Proportional to 12,546.32, 17,312.98 and 6,880.16

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Solution

The fourth proportional to 12,546.32, 17,312.98 and 6,880.16 is: 9,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.32 : 17,312.98 = 6,880.16 : x
  2. Step 2: Convert to fraction form
    12,546.32/17,312.98 = 6,880.16/x
  3. Step 3: Cross multiply
    12,546.32x = 17,312.98 × 6,880.16
  4. Step 4: Simplify right side
    12,546.32x = 119,116,072.48
  5. Step 5: Solve for x
    x = 119,116,072.48/12,546.32
  6. Step 6: Final answer
    x = 9,494.10

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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.