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Finding the Fourth Proportional to 12,535.80, 17,298.86 and 7,497.03

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Solution

The fourth proportional to 12,535.80, 17,298.86 and 7,497.03 is: 10,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.80 : 17,298.86 = 7,497.03 : x
  2. Step 2: Convert to fraction form
    12,535.80/17,298.86 = 7,497.03/x
  3. Step 3: Cross multiply
    12,535.80x = 17,298.86 × 7,497.03
  4. Step 4: Simplify right side
    12,535.80x = 129,690,072.39
  5. Step 5: Solve for x
    x = 129,690,072.39/12,535.80
  6. Step 6: Final answer
    x = 10,345.58

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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.