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Finding the Fourth Proportional to 7,927.54, 10,929.65 and 6,820.38

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Solution

The fourth proportional to 7,927.54, 10,929.65 and 6,820.38 is: 9,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.54 : 10,929.65 = 6,820.38 : x
  2. Step 2: Convert to fraction form
    7,927.54/10,929.65 = 6,820.38/x
  3. Step 3: Cross multiply
    7,927.54x = 10,929.65 × 6,820.38
  4. Step 4: Simplify right side
    7,927.54x = 74,544,332.17
  5. Step 5: Solve for x
    x = 74,544,332.17/7,927.54
  6. Step 6: Final answer
    x = 9,403.21

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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.