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Finding the Fourth Proportional to 8,534.02, 12,802.77 and 4,837.90

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Solution

The fourth proportional to 8,534.02, 12,802.77 and 4,837.90 is: 7,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.02 : 12,802.77 = 4,837.90 : x
  2. Step 2: Convert to fraction form
    8,534.02/12,802.77 = 4,837.90/x
  3. Step 3: Cross multiply
    8,534.02x = 12,802.77 × 4,837.90
  4. Step 4: Simplify right side
    8,534.02x = 61,938,432.78
  5. Step 5: Solve for x
    x = 61,938,432.78/8,534.02
  6. Step 6: Final answer
    x = 7,257.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.