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Finding the Fourth Proportional to 7,693.94, 10,617.65 and 4,506.66

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Solution

The fourth proportional to 7,693.94, 10,617.65 and 4,506.66 is: 6,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.94 : 10,617.65 = 4,506.66 : x
  2. Step 2: Convert to fraction form
    7,693.94/10,617.65 = 4,506.66/x
  3. Step 3: Cross multiply
    7,693.94x = 10,617.65 × 4,506.66
  4. Step 4: Simplify right side
    7,693.94x = 47,850,116.02
  5. Step 5: Solve for x
    x = 47,850,116.02/7,693.94
  6. Step 6: Final answer
    x = 6,219.20

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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.