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Finding the Fourth Proportional to 7,642.96, 10,539.12 and 4,804.72

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Solution

The fourth proportional to 7,642.96, 10,539.12 and 4,804.72 is: 6,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.96 : 10,539.12 = 4,804.72 : x
  2. Step 2: Convert to fraction form
    7,642.96/10,539.12 = 4,804.72/x
  3. Step 3: Cross multiply
    7,642.96x = 10,539.12 × 4,804.72
  4. Step 4: Simplify right side
    7,642.96x = 50,637,520.65
  5. Step 5: Solve for x
    x = 50,637,520.65/7,642.96
  6. Step 6: Final answer
    x = 6,625.38

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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.