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Finding the Fourth Proportional to 7,830.25, 10,804.23 and 4,642.96

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Solution

The fourth proportional to 7,830.25, 10,804.23 and 4,642.96 is: 6,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.25 : 10,804.23 = 4,642.96 : x
  2. Step 2: Convert to fraction form
    7,830.25/10,804.23 = 4,642.96/x
  3. Step 3: Cross multiply
    7,830.25x = 10,804.23 × 4,642.96
  4. Step 4: Simplify right side
    7,830.25x = 50,163,584.51
  5. Step 5: Solve for x
    x = 50,163,584.51/7,830.25
  6. Step 6: Final answer
    x = 6,406.38

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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.