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Finding the Fourth Proportional to 11,032.76, 15,227.63 and 7,256.30

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Solution

The fourth proportional to 11,032.76, 15,227.63 and 7,256.30 is: 10,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.76 : 15,227.63 = 7,256.30 : x
  2. Step 2: Convert to fraction form
    11,032.76/15,227.63 = 7,256.30/x
  3. Step 3: Cross multiply
    11,032.76x = 15,227.63 × 7,256.30
  4. Step 4: Simplify right side
    11,032.76x = 110,496,139.15
  5. Step 5: Solve for x
    x = 110,496,139.15/11,032.76
  6. Step 6: Final answer
    x = 10,015.28

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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.