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Finding the Fourth Proportional to 7,124.24, 9,827.72 and 4,466.64

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Solution

The fourth proportional to 7,124.24, 9,827.72 and 4,466.64 is: 6,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.24 : 9,827.72 = 4,466.64 : x
  2. Step 2: Convert to fraction form
    7,124.24/9,827.72 = 4,466.64/x
  3. Step 3: Cross multiply
    7,124.24x = 9,827.72 × 4,466.64
  4. Step 4: Simplify right side
    7,124.24x = 43,896,887.26
  5. Step 5: Solve for x
    x = 43,896,887.26/7,124.24
  6. Step 6: Final answer
    x = 6,161.62

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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.