Home / 10,542.64-14,548.08-5,827

Finding the Fourth Proportional to 10,542.64, 14,548.08 and 5,827

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Solution

The fourth proportional to 10,542.64, 14,548.08 and 5,827 is: 8,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.64 : 14,548.08 = 5,827 : x
  2. Step 2: Convert to fraction form
    10,542.64/14,548.08 = 5,827/x
  3. Step 3: Cross multiply
    10,542.64x = 14,548.08 × 5,827
  4. Step 4: Simplify right side
    10,542.64x = 84,771,662.16
  5. Step 5: Solve for x
    x = 84,771,662.16/10,542.64
  6. Step 6: Final answer
    x = 8,040.84

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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.