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Finding the Fourth Proportional to 12,763.47, 17,612.28 and 7,457.61

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Solution

The fourth proportional to 12,763.47, 17,612.28 and 7,457.61 is: 10,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.47 : 17,612.28 = 7,457.61 : x
  2. Step 2: Convert to fraction form
    12,763.47/17,612.28 = 7,457.61/x
  3. Step 3: Cross multiply
    12,763.47x = 17,612.28 × 7,457.61
  4. Step 4: Simplify right side
    12,763.47x = 131,345,515.45
  5. Step 5: Solve for x
    x = 131,345,515.45/12,763.47
  6. Step 6: Final answer
    x = 10,290.74

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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.