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Finding the Fourth Proportional to 10,577.67, 14,600.97 and 7,218.08

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Solution

The fourth proportional to 10,577.67, 14,600.97 and 7,218.08 is: 9,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.67 : 14,600.97 = 7,218.08 : x
  2. Step 2: Convert to fraction form
    10,577.67/14,600.97 = 7,218.08/x
  3. Step 3: Cross multiply
    10,577.67x = 14,600.97 × 7,218.08
  4. Step 4: Simplify right side
    10,577.67x = 105,390,969.54
  5. Step 5: Solve for x
    x = 105,390,969.54/10,577.67
  6. Step 6: Final answer
    x = 9,963.53

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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.