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Finding the Fourth Proportional to 10,759.52, 14,853 and 7,224.68

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Solution

The fourth proportional to 10,759.52, 14,853 and 7,224.68 is: 9,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.52 : 14,853 = 7,224.68 : x
  2. Step 2: Convert to fraction form
    10,759.52/14,853 = 7,224.68/x
  3. Step 3: Cross multiply
    10,759.52x = 14,853 × 7,224.68
  4. Step 4: Simplify right side
    10,759.52x = 107,308,172.04
  5. Step 5: Solve for x
    x = 107,308,172.04/10,759.52
  6. Step 6: Final answer
    x = 9,973.32

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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.