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Finding the Fourth Proportional to 7,546.38, 11,377.45 and 7,038.18

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Solution

The fourth proportional to 7,546.38, 11,377.45 and 7,038.18 is: 10,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.38 : 11,377.45 = 7,038.18 : x
  2. Step 2: Convert to fraction form
    7,546.38/11,377.45 = 7,038.18/x
  3. Step 3: Cross multiply
    7,546.38x = 11,377.45 × 7,038.18
  4. Step 4: Simplify right side
    7,546.38x = 80,076,541.04
  5. Step 5: Solve for x
    x = 80,076,541.04/7,546.38
  6. Step 6: Final answer
    x = 10,611.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.