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Finding the Fourth Proportional to 10,810.76, 14,920.49 and 7,825.51

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Solution

The fourth proportional to 10,810.76, 14,920.49 and 7,825.51 is: 10,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.76 : 14,920.49 = 7,825.51 : x
  2. Step 2: Convert to fraction form
    10,810.76/14,920.49 = 7,825.51/x
  3. Step 3: Cross multiply
    10,810.76x = 14,920.49 × 7,825.51
  4. Step 4: Simplify right side
    10,810.76x = 116,760,443.70
  5. Step 5: Solve for x
    x = 116,760,443.70/10,810.76
  6. Step 6: Final answer
    x = 10,800.39

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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.