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Finding the Fourth Proportional to 12,888, 17,782.74 and 7,583.40

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Solution

The fourth proportional to 12,888, 17,782.74 and 7,583.40 is: 10,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888 : 17,782.74 = 7,583.40 : x
  2. Step 2: Convert to fraction form
    12,888/17,782.74 = 7,583.40/x
  3. Step 3: Cross multiply
    12,888x = 17,782.74 × 7,583.40
  4. Step 4: Simplify right side
    12,888x = 134,853,630.52
  5. Step 5: Solve for x
    x = 134,853,630.52/12,888
  6. Step 6: Final answer
    x = 10,463.50

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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.