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Finding the Fourth Proportional to 10,336.53, 14,258.71 and 6,553.02

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Solution

The fourth proportional to 10,336.53, 14,258.71 and 6,553.02 is: 9,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.53 : 14,258.71 = 6,553.02 : x
  2. Step 2: Convert to fraction form
    10,336.53/14,258.71 = 6,553.02/x
  3. Step 3: Cross multiply
    10,336.53x = 14,258.71 × 6,553.02
  4. Step 4: Simplify right side
    10,336.53x = 93,437,611.80
  5. Step 5: Solve for x
    x = 93,437,611.80/10,336.53
  6. Step 6: Final answer
    x = 9,039.55

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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.