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Finding the Fourth Proportional to 13,775.94, 19,008.45 and 7,806.38

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Solution

The fourth proportional to 13,775.94, 19,008.45 and 7,806.38 is: 10,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.94 : 19,008.45 = 7,806.38 : x
  2. Step 2: Convert to fraction form
    13,775.94/19,008.45 = 7,806.38/x
  3. Step 3: Cross multiply
    13,775.94x = 19,008.45 × 7,806.38
  4. Step 4: Simplify right side
    13,775.94x = 148,387,088.87
  5. Step 5: Solve for x
    x = 148,387,088.87/13,775.94
  6. Step 6: Final answer
    x = 10,771.47

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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.