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Finding the Fourth Proportional to 7,011.64, 10,514.83 and 2,330.78

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Solution

The fourth proportional to 7,011.64, 10,514.83 and 2,330.78 is: 3,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.64 : 10,514.83 = 2,330.78 : x
  2. Step 2: Convert to fraction form
    7,011.64/10,514.83 = 2,330.78/x
  3. Step 3: Cross multiply
    7,011.64x = 10,514.83 × 2,330.78
  4. Step 4: Simplify right side
    7,011.64x = 24,507,810.94
  5. Step 5: Solve for x
    x = 24,507,810.94/7,011.64
  6. Step 6: Final answer
    x = 3,495.30

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