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Finding the Fourth Proportional to 7,466.44, 10,303.73 and 4,109.15

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Solution

The fourth proportional to 7,466.44, 10,303.73 and 4,109.15 is: 5,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.44 : 10,303.73 = 4,109.15 : x
  2. Step 2: Convert to fraction form
    7,466.44/10,303.73 = 4,109.15/x
  3. Step 3: Cross multiply
    7,466.44x = 10,303.73 × 4,109.15
  4. Step 4: Simplify right side
    7,466.44x = 42,339,572.13
  5. Step 5: Solve for x
    x = 42,339,572.13/7,466.44
  6. Step 6: Final answer
    x = 5,670.65

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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.