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Finding the Fourth Proportional to 7,465.87, 10,302.59 and 4,108.37

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Solution

The fourth proportional to 7,465.87, 10,302.59 and 4,108.37 is: 5,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.87 : 10,302.59 = 4,108.37 : x
  2. Step 2: Convert to fraction form
    7,465.87/10,302.59 = 4,108.37/x
  3. Step 3: Cross multiply
    7,465.87x = 10,302.59 × 4,108.37
  4. Step 4: Simplify right side
    7,465.87x = 42,326,868.39
  5. Step 5: Solve for x
    x = 42,326,868.39/7,465.87
  6. Step 6: Final answer
    x = 5,669.38

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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.