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Finding the Fourth Proportional to 12,847.64, 17,729.16 and 7,547

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Solution

The fourth proportional to 12,847.64, 17,729.16 and 7,547 is: 10,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.64 : 17,729.16 = 7,547 : x
  2. Step 2: Convert to fraction form
    12,847.64/17,729.16 = 7,547/x
  3. Step 3: Cross multiply
    12,847.64x = 17,729.16 × 7,547
  4. Step 4: Simplify right side
    12,847.64x = 133,801,970.52
  5. Step 5: Solve for x
    x = 133,801,970.52/12,847.64
  6. Step 6: Final answer
    x = 10,414.52

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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.