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Finding the Fourth Proportional to 7,725.98, 11,587.19 and 4,606.87

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Solution

The fourth proportional to 7,725.98, 11,587.19 and 4,606.87 is: 6,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.98 : 11,587.19 = 4,606.87 : x
  2. Step 2: Convert to fraction form
    7,725.98/11,587.19 = 4,606.87/x
  3. Step 3: Cross multiply
    7,725.98x = 11,587.19 × 4,606.87
  4. Step 4: Simplify right side
    7,725.98x = 53,380,678.00
  5. Step 5: Solve for x
    x = 53,380,678.00/7,725.98
  6. Step 6: Final answer
    x = 6,909.25

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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.