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Finding the Fourth Proportional to 7,357.86, 11,036.79 and 4,897.49

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Solution

The fourth proportional to 7,357.86, 11,036.79 and 4,897.49 is: 7,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.86 : 11,036.79 = 4,897.49 : x
  2. Step 2: Convert to fraction form
    7,357.86/11,036.79 = 4,897.49/x
  3. Step 3: Cross multiply
    7,357.86x = 11,036.79 × 4,897.49
  4. Step 4: Simplify right side
    7,357.86x = 54,052,513.47
  5. Step 5: Solve for x
    x = 54,052,513.47/7,357.86
  6. Step 6: Final answer
    x = 7,346.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.