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Finding the Fourth Proportional to 7,762.10, 11,636.28 and 3,085.38

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Solution

The fourth proportional to 7,762.10, 11,636.28 and 3,085.38 is: 4,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.10 : 11,636.28 = 3,085.38 : x
  2. Step 2: Convert to fraction form
    7,762.10/11,636.28 = 3,085.38/x
  3. Step 3: Cross multiply
    7,762.10x = 11,636.28 × 3,085.38
  4. Step 4: Simplify right side
    7,762.10x = 35,902,345.59
  5. Step 5: Solve for x
    x = 35,902,345.59/7,762.10
  6. Step 6: Final answer
    x = 4,625.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.