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Finding the Fourth Proportional to 12,507.16, 17,259.68 and 6,841.76

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Solution

The fourth proportional to 12,507.16, 17,259.68 and 6,841.76 is: 9,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.16 : 17,259.68 = 6,841.76 : x
  2. Step 2: Convert to fraction form
    12,507.16/17,259.68 = 6,841.76/x
  3. Step 3: Cross multiply
    12,507.16x = 17,259.68 × 6,841.76
  4. Step 4: Simplify right side
    12,507.16x = 118,086,588.24
  5. Step 5: Solve for x
    x = 118,086,588.24/12,507.16
  6. Step 6: Final answer
    x = 9,441.52

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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.