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Finding the Fourth Proportional to 11,533.50, 15,916.23 and 6,566.46

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Solution

The fourth proportional to 11,533.50, 15,916.23 and 6,566.46 is: 9,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.50 : 15,916.23 = 6,566.46 : x
  2. Step 2: Convert to fraction form
    11,533.50/15,916.23 = 6,566.46/x
  3. Step 3: Cross multiply
    11,533.50x = 15,916.23 × 6,566.46
  4. Step 4: Simplify right side
    11,533.50x = 104,513,287.65
  5. Step 5: Solve for x
    x = 104,513,287.65/11,533.50
  6. Step 6: Final answer
    x = 9,061.71

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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.