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Finding the Fourth Proportional to 11,485.80, 15,852.14 and 7,012.16

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Solution

The fourth proportional to 11,485.80, 15,852.14 and 7,012.16 is: 9,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.80 : 15,852.14 = 7,012.16 : x
  2. Step 2: Convert to fraction form
    11,485.80/15,852.14 = 7,012.16/x
  3. Step 3: Cross multiply
    11,485.80x = 15,852.14 × 7,012.16
  4. Step 4: Simplify right side
    11,485.80x = 111,157,742.02
  5. Step 5: Solve for x
    x = 111,157,742.02/11,485.80
  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.