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Finding the Fourth Proportional to 11,256.31, 15,534.54 and 6,477.70

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Solution

The fourth proportional to 11,256.31, 15,534.54 and 6,477.70 is: 8,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.31 : 15,534.54 = 6,477.70 : x
  2. Step 2: Convert to fraction form
    11,256.31/15,534.54 = 6,477.70/x
  3. Step 3: Cross multiply
    11,256.31x = 15,534.54 × 6,477.70
  4. Step 4: Simplify right side
    11,256.31x = 100,628,089.76
  5. Step 5: Solve for x
    x = 100,628,089.76/11,256.31
  6. Step 6: Final answer
    x = 8,939.70

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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.