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Finding the Fourth Proportional to 12,605.84, 18,904.92 and 7,130

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Solution

The fourth proportional to 12,605.84, 18,904.92 and 7,130 is: 10,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.84 : 18,904.92 = 7,130 : x
  2. Step 2: Convert to fraction form
    12,605.84/18,904.92 = 7,130/x
  3. Step 3: Cross multiply
    12,605.84x = 18,904.92 × 7,130
  4. Step 4: Simplify right side
    12,605.84x = 134,792,079.60
  5. Step 5: Solve for x
    x = 134,792,079.60/12,605.84
  6. Step 6: Final answer
    x = 10,692.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.