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Finding the Fourth Proportional to 13,078.58, 18,053.08 and 7,773.38

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Solution

The fourth proportional to 13,078.58, 18,053.08 and 7,773.38 is: 10,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.58 : 18,053.08 = 7,773.38 : x
  2. Step 2: Convert to fraction form
    13,078.58/18,053.08 = 7,773.38/x
  3. Step 3: Cross multiply
    13,078.58x = 18,053.08 × 7,773.38
  4. Step 4: Simplify right side
    13,078.58x = 140,333,451.01
  5. Step 5: Solve for x
    x = 140,333,451.01/13,078.58
  6. Step 6: Final answer
    x = 10,730.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.