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Finding the Fourth Proportional to 12,371.64, 17,064.28 and 7,653.12

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Solution

The fourth proportional to 12,371.64, 17,064.28 and 7,653.12 is: 10,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.64 : 17,064.28 = 7,653.12 : x
  2. Step 2: Convert to fraction form
    12,371.64/17,064.28 = 7,653.12/x
  3. Step 3: Cross multiply
    12,371.64x = 17,064.28 × 7,653.12
  4. Step 4: Simplify right side
    12,371.64x = 130,594,982.55
  5. Step 5: Solve for x
    x = 130,594,982.55/12,371.64
  6. Step 6: Final answer
    x = 10,556.00

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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.