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Finding the Fourth Proportional to 11,292.71, 15,583.29 and 6,256.63

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Solution

The fourth proportional to 11,292.71, 15,583.29 and 6,256.63 is: 8,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.71 : 15,583.29 = 6,256.63 : x
  2. Step 2: Convert to fraction form
    11,292.71/15,583.29 = 6,256.63/x
  3. Step 3: Cross multiply
    11,292.71x = 15,583.29 × 6,256.63
  4. Step 4: Simplify right side
    11,292.71x = 97,498,875.73
  5. Step 5: Solve for x
    x = 97,498,875.73/11,292.71
  6. Step 6: Final answer
    x = 8,633.79

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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.