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Finding the Fourth Proportional to 7,411.47, 11,021.88 and 7,177.89

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Solution

The fourth proportional to 7,411.47, 11,021.88 and 7,177.89 is: 10,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.47 : 11,021.88 = 7,177.89 : x
  2. Step 2: Convert to fraction form
    7,411.47/11,021.88 = 7,177.89/x
  3. Step 3: Cross multiply
    7,411.47x = 11,021.88 × 7,177.89
  4. Step 4: Simplify right side
    7,411.47x = 79,113,842.23
  5. Step 5: Solve for x
    x = 79,113,842.23/7,411.47
  6. Step 6: Final answer
    x = 10,674.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.