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Finding the Fourth Proportional to 12,904.83, 17,810.73 and 7,599.64

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Solution

The fourth proportional to 12,904.83, 17,810.73 and 7,599.64 is: 10,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.83 : 17,810.73 = 7,599.64 : x
  2. Step 2: Convert to fraction form
    12,904.83/17,810.73 = 7,599.64/x
  3. Step 3: Cross multiply
    12,904.83x = 17,810.73 × 7,599.64
  4. Step 4: Simplify right side
    12,904.83x = 135,355,136.14
  5. Step 5: Solve for x
    x = 135,355,136.14/12,904.83
  6. Step 6: Final answer
    x = 10,488.72

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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.