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Finding the Fourth Proportional to 11,707.14, 17,534.72 and 8,410.34

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Solution

The fourth proportional to 11,707.14, 17,534.72 and 8,410.34 is: 12,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.14 : 17,534.72 = 8,410.34 : x
  2. Step 2: Convert to fraction form
    11,707.14/17,534.72 = 8,410.34/x
  3. Step 3: Cross multiply
    11,707.14x = 17,534.72 × 8,410.34
  4. Step 4: Simplify right side
    11,707.14x = 147,472,957.00
  5. Step 5: Solve for x
    x = 147,472,957.00/11,707.14
  6. Step 6: Final answer
    x = 12,596.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.