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Finding the Fourth Proportional to 11,485.83, 15,852.17 and 7,012.17

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Solution

The fourth proportional to 11,485.83, 15,852.17 and 7,012.17 is: 9,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.83 : 15,852.17 = 7,012.17 : x
  2. Step 2: Convert to fraction form
    11,485.83/15,852.17 = 7,012.17/x
  3. Step 3: Cross multiply
    11,485.83x = 15,852.17 × 7,012.17
  4. Step 4: Simplify right side
    11,485.83x = 111,158,075.85
  5. Step 5: Solve for x
    x = 111,158,075.85/11,485.83
  6. Step 6: Final answer
    x = 9,677.84

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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.