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Finding the Fourth Proportional to 7,853.66, 10,838.67 and 4,497.53

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Solution

The fourth proportional to 7,853.66, 10,838.67 and 4,497.53 is: 6,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.66 : 10,838.67 = 4,497.53 : x
  2. Step 2: Convert to fraction form
    7,853.66/10,838.67 = 4,497.53/x
  3. Step 3: Cross multiply
    7,853.66x = 10,838.67 × 4,497.53
  4. Step 4: Simplify right side
    7,853.66x = 48,747,243.49
  5. Step 5: Solve for x
    x = 48,747,243.49/7,853.66
  6. Step 6: Final answer
    x = 6,206.95

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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.