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Finding the Fourth Proportional to 13,141.14, 18,130.10 and 7,762.42

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Solution

The fourth proportional to 13,141.14, 18,130.10 and 7,762.42 is: 10,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.14 : 18,130.10 = 7,762.42 : x
  2. Step 2: Convert to fraction form
    13,141.14/18,130.10 = 7,762.42/x
  3. Step 3: Cross multiply
    13,141.14x = 18,130.10 × 7,762.42
  4. Step 4: Simplify right side
    13,141.14x = 140,733,448.07
  5. Step 5: Solve for x
    x = 140,733,448.07/13,141.14
  6. Step 6: Final answer
    x = 10,709.38

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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.