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Finding the Fourth Proportional to 7,458.58, 10,292.63 and 4,101.39

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Solution

The fourth proportional to 7,458.58, 10,292.63 and 4,101.39 is: 5,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.58 : 10,292.63 = 4,101.39 : x
  2. Step 2: Convert to fraction form
    7,458.58/10,292.63 = 4,101.39/x
  3. Step 3: Cross multiply
    7,458.58x = 10,292.63 × 4,101.39
  4. Step 4: Simplify right side
    7,458.58x = 42,214,100.11
  5. Step 5: Solve for x
    x = 42,214,100.11/7,458.58
  6. Step 6: Final answer
    x = 5,659.80

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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.