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Finding the Fourth Proportional to 10,497, 14,485.86 and 5,781.54

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Solution

The fourth proportional to 10,497, 14,485.86 and 5,781.54 is: 7,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497 : 14,485.86 = 5,781.54 : x
  2. Step 2: Convert to fraction form
    10,497/14,485.86 = 5,781.54/x
  3. Step 3: Cross multiply
    10,497x = 14,485.86 × 5,781.54
  4. Step 4: Simplify right side
    10,497x = 83,750,579.02
  5. Step 5: Solve for x
    x = 83,750,579.02/10,497
  6. Step 6: Final answer
    x = 7,978.53

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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.