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Finding the Fourth Proportional to 7,386.05, 10,193.15 and 4,199.29

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Solution

The fourth proportional to 7,386.05, 10,193.15 and 4,199.29 is: 5,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.05 : 10,193.15 = 4,199.29 : x
  2. Step 2: Convert to fraction form
    7,386.05/10,193.15 = 4,199.29/x
  3. Step 3: Cross multiply
    7,386.05x = 10,193.15 × 4,199.29
  4. Step 4: Simplify right side
    7,386.05x = 42,803,992.86
  5. Step 5: Solve for x
    x = 42,803,992.86/7,386.05
  6. Step 6: Final answer
    x = 5,795.25

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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.