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Finding the Fourth Proportional to 8,536.74, 11,780.25 and 4,810.50

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Solution

The fourth proportional to 8,536.74, 11,780.25 and 4,810.50 is: 6,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.74 : 11,780.25 = 4,810.50 : x
  2. Step 2: Convert to fraction form
    8,536.74/11,780.25 = 4,810.50/x
  3. Step 3: Cross multiply
    8,536.74x = 11,780.25 × 4,810.50
  4. Step 4: Simplify right side
    8,536.74x = 56,668,892.63
  5. Step 5: Solve for x
    x = 56,668,892.63/8,536.74
  6. Step 6: Final answer
    x = 6,638.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.