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Finding the Fourth Proportional to 7,466.49, 10,303.49 and 4,109.21

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Solution

The fourth proportional to 7,466.49, 10,303.49 and 4,109.21 is: 5,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.49 : 10,303.49 = 4,109.21 : x
  2. Step 2: Convert to fraction form
    7,466.49/10,303.49 = 4,109.21/x
  3. Step 3: Cross multiply
    7,466.49x = 10,303.49 × 4,109.21
  4. Step 4: Simplify right side
    7,466.49x = 42,339,240.17
  5. Step 5: Solve for x
    x = 42,339,240.17/7,466.49
  6. Step 6: Final answer
    x = 5,670.57

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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.