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Finding the Fourth Proportional to 7,412.91, 10,230.08 and 4,897.23

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Solution

The fourth proportional to 7,412.91, 10,230.08 and 4,897.23 is: 6,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.91 : 10,230.08 = 4,897.23 : x
  2. Step 2: Convert to fraction form
    7,412.91/10,230.08 = 4,897.23/x
  3. Step 3: Cross multiply
    7,412.91x = 10,230.08 × 4,897.23
  4. Step 4: Simplify right side
    7,412.91x = 50,099,030.19
  5. Step 5: Solve for x
    x = 50,099,030.19/7,412.91
  6. Step 6: Final answer
    x = 6,758.35

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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.