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Finding the Fourth Proportional to 7,523.64, 10,383.60 and 4,541.16

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Solution

The fourth proportional to 7,523.64, 10,383.60 and 4,541.16 is: 6,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.64 : 10,383.60 = 4,541.16 : x
  2. Step 2: Convert to fraction form
    7,523.64/10,383.60 = 4,541.16/x
  3. Step 3: Cross multiply
    7,523.64x = 10,383.60 × 4,541.16
  4. Step 4: Simplify right side
    7,523.64x = 47,153,588.98
  5. Step 5: Solve for x
    x = 47,153,588.98/7,523.64
  6. Step 6: Final answer
    x = 6,267.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.