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Finding the Fourth Proportional to 12,706.75, 17,533.89 and 7,040.08

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Solution

The fourth proportional to 12,706.75, 17,533.89 and 7,040.08 is: 9,714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.75 : 17,533.89 = 7,040.08 : x
  2. Step 2: Convert to fraction form
    12,706.75/17,533.89 = 7,040.08/x
  3. Step 3: Cross multiply
    12,706.75x = 17,533.89 × 7,040.08
  4. Step 4: Simplify right side
    12,706.75x = 123,439,970.71
  5. Step 5: Solve for x
    x = 123,439,970.71/12,706.75
  6. Step 6: Final answer
    x = 9,714.52

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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.