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Finding the Fourth Proportional to 12,508.16, 17,261.06 and 6,842.76

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Solution

The fourth proportional to 12,508.16, 17,261.06 and 6,842.76 is: 9,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.16 : 17,261.06 = 6,842.76 : x
  2. Step 2: Convert to fraction form
    12,508.16/17,261.06 = 6,842.76/x
  3. Step 3: Cross multiply
    12,508.16x = 17,261.06 × 6,842.76
  4. Step 4: Simplify right side
    12,508.16x = 118,113,290.93
  5. Step 5: Solve for x
    x = 118,113,290.93/12,508.16
  6. Step 6: Final answer
    x = 9,442.90

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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.