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Finding the Fourth Proportional to 7,725.65, 11,566.40 and 7,235.22

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Solution

The fourth proportional to 7,725.65, 11,566.40 and 7,235.22 is: 10,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.65 : 11,566.40 = 7,235.22 : x
  2. Step 2: Convert to fraction form
    7,725.65/11,566.40 = 7,235.22/x
  3. Step 3: Cross multiply
    7,725.65x = 11,566.40 × 7,235.22
  4. Step 4: Simplify right side
    7,725.65x = 83,685,455.81
  5. Step 5: Solve for x
    x = 83,685,455.81/7,725.65
  6. Step 6: Final answer
    x = 10,832.16

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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.