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Finding the Fourth Proportional to 11,830.50, 16,325.46 and 7,638.72

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Solution

The fourth proportional to 11,830.50, 16,325.46 and 7,638.72 is: 10,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.50 : 16,325.46 = 7,638.72 : x
  2. Step 2: Convert to fraction form
    11,830.50/16,325.46 = 7,638.72/x
  3. Step 3: Cross multiply
    11,830.50x = 16,325.46 × 7,638.72
  4. Step 4: Simplify right side
    11,830.50x = 124,705,617.81
  5. Step 5: Solve for x
    x = 124,705,617.81/11,830.50
  6. Step 6: Final answer
    x = 10,541.03

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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.