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Finding the Fourth Proportional to 7,683.51, 10,580.92 and 6,674.75

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Solution

The fourth proportional to 7,683.51, 10,580.92 and 6,674.75 is: 9,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.51 : 10,580.92 = 6,674.75 : x
  2. Step 2: Convert to fraction form
    7,683.51/10,580.92 = 6,674.75/x
  3. Step 3: Cross multiply
    7,683.51x = 10,580.92 × 6,674.75
  4. Step 4: Simplify right side
    7,683.51x = 70,625,030.57
  5. Step 5: Solve for x
    x = 70,625,030.57/7,683.51
  6. Step 6: Final answer
    x = 9,191.77

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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.