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Finding the Fourth Proportional to 7,541.04, 10,406.36 and 4,184

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Solution

The fourth proportional to 7,541.04, 10,406.36 and 4,184 is: 5,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.04 : 10,406.36 = 4,184 : x
  2. Step 2: Convert to fraction form
    7,541.04/10,406.36 = 4,184/x
  3. Step 3: Cross multiply
    7,541.04x = 10,406.36 × 4,184
  4. Step 4: Simplify right side
    7,541.04x = 43,540,210.24
  5. Step 5: Solve for x
    x = 43,540,210.24/7,541.04
  6. Step 6: Final answer
    x = 5,773.77

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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.