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Finding the Fourth Proportional to 7,462, 10,295.40 and 4,317.04

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Solution

The fourth proportional to 7,462, 10,295.40 and 4,317.04 is: 5,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462 : 10,295.40 = 4,317.04 : x
  2. Step 2: Convert to fraction form
    7,462/10,295.40 = 4,317.04/x
  3. Step 3: Cross multiply
    7,462x = 10,295.40 × 4,317.04
  4. Step 4: Simplify right side
    7,462x = 44,445,653.62
  5. Step 5: Solve for x
    x = 44,445,653.62/7,462
  6. Step 6: Final answer
    x = 5,956.27

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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.