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Finding the Fourth Proportional to 7,123.60, 9,833.84 and 5,355.80

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Solution

The fourth proportional to 7,123.60, 9,833.84 and 5,355.80 is: 7,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.60 : 9,833.84 = 5,355.80 : x
  2. Step 2: Convert to fraction form
    7,123.60/9,833.84 = 5,355.80/x
  3. Step 3: Cross multiply
    7,123.60x = 9,833.84 × 5,355.80
  4. Step 4: Simplify right side
    7,123.60x = 52,668,080.27
  5. Step 5: Solve for x
    x = 52,668,080.27/7,123.60
  6. Step 6: Final answer
    x = 7,393.46

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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.