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Finding the Fourth Proportional to 11,106.42, 15,305.65 and 7,957.14

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Solution

The fourth proportional to 11,106.42, 15,305.65 and 7,957.14 is: 10,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.42 : 15,305.65 = 7,957.14 : x
  2. Step 2: Convert to fraction form
    11,106.42/15,305.65 = 7,957.14/x
  3. Step 3: Cross multiply
    11,106.42x = 15,305.65 × 7,957.14
  4. Step 4: Simplify right side
    11,106.42x = 121,789,199.84
  5. Step 5: Solve for x
    x = 121,789,199.84/11,106.42
  6. Step 6: Final answer
    x = 10,965.66

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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.