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Finding the Fourth Proportional to 12,000, 16,560 and 7,283.40

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Solution

The fourth proportional to 12,000, 16,560 and 7,283.40 is: 10,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 16,560 = 7,283.40 : x
  2. Step 2: Convert to fraction form
    12,000/16,560 = 7,283.40/x
  3. Step 3: Cross multiply
    12,000x = 16,560 × 7,283.40
  4. Step 4: Simplify right side
    12,000x = 120,613,104
  5. Step 5: Solve for x
    x = 120,613,104/12,000
  6. Step 6: Final answer
    x = 10,051.09

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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.