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Finding the Fourth Proportional to 7,685.51, 10,605.94 and 4,328.37

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Solution

The fourth proportional to 7,685.51, 10,605.94 and 4,328.37 is: 5,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.51 : 10,605.94 = 4,328.37 : x
  2. Step 2: Convert to fraction form
    7,685.51/10,605.94 = 4,328.37/x
  3. Step 3: Cross multiply
    7,685.51x = 10,605.94 × 4,328.37
  4. Step 4: Simplify right side
    7,685.51x = 45,906,421.70
  5. Step 5: Solve for x
    x = 45,906,421.70/7,685.51
  6. Step 6: Final answer
    x = 5,973.12

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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.