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Finding the Fourth Proportional to 8,303.36, 11,458.21 and 4,717.84

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Solution

The fourth proportional to 8,303.36, 11,458.21 and 4,717.84 is: 6,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.36 : 11,458.21 = 4,717.84 : x
  2. Step 2: Convert to fraction form
    8,303.36/11,458.21 = 4,717.84/x
  3. Step 3: Cross multiply
    8,303.36x = 11,458.21 × 4,717.84
  4. Step 4: Simplify right side
    8,303.36x = 54,058,001.47
  5. Step 5: Solve for x
    x = 54,058,001.47/8,303.36
  6. Step 6: Final answer
    x = 6,510.38

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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.