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Finding the Fourth Proportional to 7,458.98, 10,292.86 and 4,101.74

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Solution

The fourth proportional to 7,458.98, 10,292.86 and 4,101.74 is: 5,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.98 : 10,292.86 = 4,101.74 : x
  2. Step 2: Convert to fraction form
    7,458.98/10,292.86 = 4,101.74/x
  3. Step 3: Cross multiply
    7,458.98x = 10,292.86 × 4,101.74
  4. Step 4: Simplify right side
    7,458.98x = 42,218,573.86
  5. Step 5: Solve for x
    x = 42,218,573.86/7,458.98
  6. Step 6: Final answer
    x = 5,660.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.