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Finding the Fourth Proportional to 11,548.93, 17,315.07 and 7,097.40

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Solution

The fourth proportional to 11,548.93, 17,315.07 and 7,097.40 is: 10,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.93 : 17,315.07 = 7,097.40 : x
  2. Step 2: Convert to fraction form
    11,548.93/17,315.07 = 7,097.40/x
  3. Step 3: Cross multiply
    11,548.93x = 17,315.07 × 7,097.40
  4. Step 4: Simplify right side
    11,548.93x = 122,891,911.77
  5. Step 5: Solve for x
    x = 122,891,911.77/11,548.93
  6. Step 6: Final answer
    x = 10,640.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.