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Finding the Fourth Proportional to 10,728.72, 14,808.60 and 7,002

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Solution

The fourth proportional to 10,728.72, 14,808.60 and 7,002 is: 9,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.72 : 14,808.60 = 7,002 : x
  2. Step 2: Convert to fraction form
    10,728.72/14,808.60 = 7,002/x
  3. Step 3: Cross multiply
    10,728.72x = 14,808.60 × 7,002
  4. Step 4: Simplify right side
    10,728.72x = 103,689,817.20
  5. Step 5: Solve for x
    x = 103,689,817.20/10,728.72
  6. Step 6: Final answer
    x = 9,664.70

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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.