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Finding the Fourth Proportional to 12,537, 17,296.76 and 7,155.60

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Solution

The fourth proportional to 12,537, 17,296.76 and 7,155.60 is: 9,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537 : 17,296.76 = 7,155.60 : x
  2. Step 2: Convert to fraction form
    12,537/17,296.76 = 7,155.60/x
  3. Step 3: Cross multiply
    12,537x = 17,296.76 × 7,155.60
  4. Step 4: Simplify right side
    12,537x = 123,768,695.86
  5. Step 5: Solve for x
    x = 123,768,695.86/12,537
  6. Step 6: Final answer
    x = 9,872.27

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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.