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Finding the Fourth Proportional to 7,750.10, 10,696.68 and 4,605.68

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Solution

The fourth proportional to 7,750.10, 10,696.68 and 4,605.68 is: 6,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.10 : 10,696.68 = 4,605.68 : x
  2. Step 2: Convert to fraction form
    7,750.10/10,696.68 = 4,605.68/x
  3. Step 3: Cross multiply
    7,750.10x = 10,696.68 × 4,605.68
  4. Step 4: Simplify right side
    7,750.10x = 49,265,485.14
  5. Step 5: Solve for x
    x = 49,265,485.14/7,750.10
  6. Step 6: Final answer
    x = 6,356.75

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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.