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Finding the Fourth Proportional to 7,683.77, 10,605.95 and 4,497.80

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Solution

The fourth proportional to 7,683.77, 10,605.95 and 4,497.80 is: 6,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.77 : 10,605.95 = 4,497.80 : x
  2. Step 2: Convert to fraction form
    7,683.77/10,605.95 = 4,497.80/x
  3. Step 3: Cross multiply
    7,683.77x = 10,605.95 × 4,497.80
  4. Step 4: Simplify right side
    7,683.77x = 47,703,445.94
  5. Step 5: Solve for x
    x = 47,703,445.94/7,683.77
  6. Step 6: Final answer
    x = 6,208.34

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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.