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Finding the Fourth Proportional to 7,840.50, 10,819.81 and 4,303.63

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Solution

The fourth proportional to 7,840.50, 10,819.81 and 4,303.63 is: 5,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.50 : 10,819.81 = 4,303.63 : x
  2. Step 2: Convert to fraction form
    7,840.50/10,819.81 = 4,303.63/x
  3. Step 3: Cross multiply
    7,840.50x = 10,819.81 × 4,303.63
  4. Step 4: Simplify right side
    7,840.50x = 46,564,477.81
  5. Step 5: Solve for x
    x = 46,564,477.81/7,840.50
  6. Step 6: Final answer
    x = 5,938.97

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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.