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Finding the Fourth Proportional to 12,617.58, 17,412 and 7,904.46

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Solution

The fourth proportional to 12,617.58, 17,412 and 7,904.46 is: 10,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.58 : 17,412 = 7,904.46 : x
  2. Step 2: Convert to fraction form
    12,617.58/17,412 = 7,904.46/x
  3. Step 3: Cross multiply
    12,617.58x = 17,412 × 7,904.46
  4. Step 4: Simplify right side
    12,617.58x = 137,632,457.52
  5. Step 5: Solve for x
    x = 137,632,457.52/12,617.58
  6. Step 6: Final answer
    x = 10,907.99

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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.