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Finding the Fourth Proportional to 7,386.69, 10,192.64 and 4,199.45

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Solution

The fourth proportional to 7,386.69, 10,192.64 and 4,199.45 is: 5,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.69 : 10,192.64 = 4,199.45 : x
  2. Step 2: Convert to fraction form
    7,386.69/10,192.64 = 4,199.45/x
  3. Step 3: Cross multiply
    7,386.69x = 10,192.64 × 4,199.45
  4. Step 4: Simplify right side
    7,386.69x = 42,803,410.09
  5. Step 5: Solve for x
    x = 42,803,410.09/7,386.69
  6. Step 6: Final answer
    x = 5,794.66

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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.