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Finding the Fourth Proportional to 13,097.97, 18,075.79 and 7,720.63

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Solution

The fourth proportional to 13,097.97, 18,075.79 and 7,720.63 is: 10,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.97 : 18,075.79 = 7,720.63 : x
  2. Step 2: Convert to fraction form
    13,097.97/18,075.79 = 7,720.63/x
  3. Step 3: Cross multiply
    13,097.97x = 18,075.79 × 7,720.63
  4. Step 4: Simplify right side
    13,097.97x = 139,556,396.17
  5. Step 5: Solve for x
    x = 139,556,396.17/13,097.97
  6. Step 6: Final answer
    x = 10,654.82

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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.