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Finding the Fourth Proportional to 11,708.50, 16,158 and 7,235.32

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Solution

The fourth proportional to 11,708.50, 16,158 and 7,235.32 is: 9,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.50 : 16,158 = 7,235.32 : x
  2. Step 2: Convert to fraction form
    11,708.50/16,158 = 7,235.32/x
  3. Step 3: Cross multiply
    11,708.50x = 16,158 × 7,235.32
  4. Step 4: Simplify right side
    11,708.50x = 116,908,300.56
  5. Step 5: Solve for x
    x = 116,908,300.56/11,708.50
  6. Step 6: Final answer
    x = 9,984.91

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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.