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Finding the Fourth Proportional to 12,507.63, 17,260.40 and 6,842.49

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Solution

The fourth proportional to 12,507.63, 17,260.40 and 6,842.49 is: 9,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.63 : 17,260.40 = 6,842.49 : x
  2. Step 2: Convert to fraction form
    12,507.63/17,260.40 = 6,842.49/x
  3. Step 3: Cross multiply
    12,507.63x = 17,260.40 × 6,842.49
  4. Step 4: Simplify right side
    12,507.63x = 118,104,080.18
  5. Step 5: Solve for x
    x = 118,104,080.18/12,507.63
  6. Step 6: Final answer
    x = 9,442.56

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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.