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Finding the Fourth Proportional to 12,762.88, 17,613.03 and 7,097.86

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Solution

The fourth proportional to 12,762.88, 17,613.03 and 7,097.86 is: 9,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.88 : 17,613.03 = 7,097.86 : x
  2. Step 2: Convert to fraction form
    12,762.88/17,613.03 = 7,097.86/x
  3. Step 3: Cross multiply
    12,762.88x = 17,613.03 × 7,097.86
  4. Step 4: Simplify right side
    12,762.88x = 125,014,821.12
  5. Step 5: Solve for x
    x = 125,014,821.12/12,762.88
  6. Step 6: Final answer
    x = 9,795.19

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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.