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Finding the Fourth Proportional to 7,836.34, 10,814.85 and 4,300.24

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Solution

The fourth proportional to 7,836.34, 10,814.85 and 4,300.24 is: 5,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.34 : 10,814.85 = 4,300.24 : x
  2. Step 2: Convert to fraction form
    7,836.34/10,814.85 = 4,300.24/x
  3. Step 3: Cross multiply
    7,836.34x = 10,814.85 × 4,300.24
  4. Step 4: Simplify right side
    7,836.34x = 46,506,450.56
  5. Step 5: Solve for x
    x = 46,506,450.56/7,836.34
  6. Step 6: Final answer
    x = 5,934.72

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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.