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Finding the Fourth Proportional to 12,708.72, 17,537.40 and 7,118.64

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Solution

The fourth proportional to 12,708.72, 17,537.40 and 7,118.64 is: 9,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.72 : 17,537.40 = 7,118.64 : x
  2. Step 2: Convert to fraction form
    12,708.72/17,537.40 = 7,118.64/x
  3. Step 3: Cross multiply
    12,708.72x = 17,537.40 × 7,118.64
  4. Step 4: Simplify right side
    12,708.72x = 124,842,437.14
  5. Step 5: Solve for x
    x = 124,842,437.14/12,708.72
  6. Step 6: Final answer
    x = 9,823.37

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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.