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Finding the Fourth Proportional to 10,561.36, 14,574.18 and 6,085.24

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Solution

The fourth proportional to 10,561.36, 14,574.18 and 6,085.24 is: 8,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.36 : 14,574.18 = 6,085.24 : x
  2. Step 2: Convert to fraction form
    10,561.36/14,574.18 = 6,085.24/x
  3. Step 3: Cross multiply
    10,561.36x = 14,574.18 × 6,085.24
  4. Step 4: Simplify right side
    10,561.36x = 88,687,383.10
  5. Step 5: Solve for x
    x = 88,687,383.10/10,561.36
  6. Step 6: Final answer
    x = 8,397.34

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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.