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Finding the Fourth Proportional to 8,525.54, 11,754.95 and 7,111.28

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Solution

The fourth proportional to 8,525.54, 11,754.95 and 7,111.28 is: 9,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.54 : 11,754.95 = 7,111.28 : x
  2. Step 2: Convert to fraction form
    8,525.54/11,754.95 = 7,111.28/x
  3. Step 3: Cross multiply
    8,525.54x = 11,754.95 × 7,111.28
  4. Step 4: Simplify right side
    8,525.54x = 83,592,646.50
  5. Step 5: Solve for x
    x = 83,592,646.50/8,525.54
  6. Step 6: Final answer
    x = 9,804.97

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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.