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Finding the Fourth Proportional to 10,959.57, 15,136.46 and 7,416.63

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Solution

The fourth proportional to 10,959.57, 15,136.46 and 7,416.63 is: 10,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.57 : 15,136.46 = 7,416.63 : x
  2. Step 2: Convert to fraction form
    10,959.57/15,136.46 = 7,416.63/x
  3. Step 3: Cross multiply
    10,959.57x = 15,136.46 × 7,416.63
  4. Step 4: Simplify right side
    10,959.57x = 112,261,486.25
  5. Step 5: Solve for x
    x = 112,261,486.25/10,959.57
  6. Step 6: Final answer
    x = 10,243.24

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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.