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Finding the Fourth Proportional to 7,541.63, 10,407.48 and 4,184.44

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Solution

The fourth proportional to 7,541.63, 10,407.48 and 4,184.44 is: 5,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.63 : 10,407.48 = 4,184.44 : x
  2. Step 2: Convert to fraction form
    7,541.63/10,407.48 = 4,184.44/x
  3. Step 3: Cross multiply
    7,541.63x = 10,407.48 × 4,184.44
  4. Step 4: Simplify right side
    7,541.63x = 43,549,475.61
  5. Step 5: Solve for x
    x = 43,549,475.61/7,541.63
  6. Step 6: Final answer
    x = 5,774.54

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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.