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Finding the Fourth Proportional to 12,712.00, 19,070.75 and 5,215.57

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Solution

The fourth proportional to 12,712.00, 19,070.75 and 5,215.57 is: 7,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.00 : 19,070.75 = 5,215.57 : x
  2. Step 2: Convert to fraction form
    12,712.00/19,070.75 = 5,215.57/x
  3. Step 3: Cross multiply
    12,712.00x = 19,070.75 × 5,215.57
  4. Step 4: Simplify right side
    12,712.00x = 99,464,896.57
  5. Step 5: Solve for x
    x = 99,464,896.57/12,712.00
  6. Step 6: Final answer
    x = 7,824.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.