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Finding the Fourth Proportional to 7,416.58, 11,123.79 and 2,798.50

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Solution

The fourth proportional to 7,416.58, 11,123.79 and 2,798.50 is: 4,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.58 : 11,123.79 = 2,798.50 : x
  2. Step 2: Convert to fraction form
    7,416.58/11,123.79 = 2,798.50/x
  3. Step 3: Cross multiply
    7,416.58x = 11,123.79 × 2,798.50
  4. Step 4: Simplify right side
    7,416.58x = 31,129,926.32
  5. Step 5: Solve for x
    x = 31,129,926.32/7,416.58
  6. Step 6: Final answer
    x = 4,197.34

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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.