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Finding the Fourth Proportional to 7,740.54, 10,683.63 and 4,758.93

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Solution

The fourth proportional to 7,740.54, 10,683.63 and 4,758.93 is: 6,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.54 : 10,683.63 = 4,758.93 : x
  2. Step 2: Convert to fraction form
    7,740.54/10,683.63 = 4,758.93/x
  3. Step 3: Cross multiply
    7,740.54x = 10,683.63 × 4,758.93
  4. Step 4: Simplify right side
    7,740.54x = 50,842,647.32
  5. Step 5: Solve for x
    x = 50,842,647.32/7,740.54
  6. Step 6: Final answer
    x = 6,568.36

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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.