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Finding the Fourth Proportional to 8,510.21, 11,743.43 and 4,733.16

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Solution

The fourth proportional to 8,510.21, 11,743.43 and 4,733.16 is: 6,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.21 : 11,743.43 = 4,733.16 : x
  2. Step 2: Convert to fraction form
    8,510.21/11,743.43 = 4,733.16/x
  3. Step 3: Cross multiply
    8,510.21x = 11,743.43 × 4,733.16
  4. Step 4: Simplify right side
    8,510.21x = 55,583,509.47
  5. Step 5: Solve for x
    x = 55,583,509.47/8,510.21
  6. Step 6: Final answer
    x = 6,531.39

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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.