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Finding the Fourth Proportional to 12,566.79, 17,341.83 and 7,533.87

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Solution

The fourth proportional to 12,566.79, 17,341.83 and 7,533.87 is: 10,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.79 : 17,341.83 = 7,533.87 : x
  2. Step 2: Convert to fraction form
    12,566.79/17,341.83 = 7,533.87/x
  3. Step 3: Cross multiply
    12,566.79x = 17,341.83 × 7,533.87
  4. Step 4: Simplify right side
    12,566.79x = 130,651,092.78
  5. Step 5: Solve for x
    x = 130,651,092.78/12,566.79
  6. Step 6: Final answer
    x = 10,396.54

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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.