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Finding the Fourth Proportional to 11,561.96, 15,955.53 and 6,256.83

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Solution

The fourth proportional to 11,561.96, 15,955.53 and 6,256.83 is: 8,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.96 : 15,955.53 = 6,256.83 : x
  2. Step 2: Convert to fraction form
    11,561.96/15,955.53 = 6,256.83/x
  3. Step 3: Cross multiply
    11,561.96x = 15,955.53 × 6,256.83
  4. Step 4: Simplify right side
    11,561.96x = 99,831,038.77
  5. Step 5: Solve for x
    x = 99,831,038.77/11,561.96
  6. Step 6: Final answer
    x = 8,634.44

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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.