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Finding the Fourth Proportional to 8,225.53, 11,351.25 and 4,688.65

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Solution

The fourth proportional to 8,225.53, 11,351.25 and 4,688.65 is: 6,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.53 : 11,351.25 = 4,688.65 : x
  2. Step 2: Convert to fraction form
    8,225.53/11,351.25 = 4,688.65/x
  3. Step 3: Cross multiply
    8,225.53x = 11,351.25 × 4,688.65
  4. Step 4: Simplify right side
    8,225.53x = 53,222,038.31
  5. Step 5: Solve for x
    x = 53,222,038.31/8,225.53
  6. Step 6: Final answer
    x = 6,470.35

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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.