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Finding the Fourth Proportional to 13,078.61, 18,051.10 and 7,772.40

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Solution

The fourth proportional to 13,078.61, 18,051.10 and 7,772.40 is: 10,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.61 : 18,051.10 = 7,772.40 : x
  2. Step 2: Convert to fraction form
    13,078.61/18,051.10 = 7,772.40/x
  3. Step 3: Cross multiply
    13,078.61x = 18,051.10 × 7,772.40
  4. Step 4: Simplify right side
    13,078.61x = 140,300,369.64
  5. Step 5: Solve for x
    x = 140,300,369.64/13,078.61
  6. Step 6: Final answer
    x = 10,727.47

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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.