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Finding the Fourth Proportional to 8,722.76, 12,036.84 and 5,186.24

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Solution

The fourth proportional to 8,722.76, 12,036.84 and 5,186.24 is: 7,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.76 : 12,036.84 = 5,186.24 : x
  2. Step 2: Convert to fraction form
    8,722.76/12,036.84 = 5,186.24/x
  3. Step 3: Cross multiply
    8,722.76x = 12,036.84 × 5,186.24
  4. Step 4: Simplify right side
    8,722.76x = 62,425,941.08
  5. Step 5: Solve for x
    x = 62,425,941.08/8,722.76
  6. Step 6: Final answer
    x = 7,156.67

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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.