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Finding the Fourth Proportional to 10,355.34, 14,290.88 and 5,879.01

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Solution

The fourth proportional to 10,355.34, 14,290.88 and 5,879.01 is: 8,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.34 : 14,290.88 = 5,879.01 : x
  2. Step 2: Convert to fraction form
    10,355.34/14,290.88 = 5,879.01/x
  3. Step 3: Cross multiply
    10,355.34x = 14,290.88 × 5,879.01
  4. Step 4: Simplify right side
    10,355.34x = 84,016,197.03
  5. Step 5: Solve for x
    x = 84,016,197.03/10,355.34
  6. Step 6: Final answer
    x = 8,113.32

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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.