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Finding the Fourth Proportional to 7,412.54, 11,106.18 and 6,477.80

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Solution

The fourth proportional to 7,412.54, 11,106.18 and 6,477.80 is: 9,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.54 : 11,106.18 = 6,477.80 : x
  2. Step 2: Convert to fraction form
    7,412.54/11,106.18 = 6,477.80/x
  3. Step 3: Cross multiply
    7,412.54x = 11,106.18 × 6,477.80
  4. Step 4: Simplify right side
    7,412.54x = 71,943,612.80
  5. Step 5: Solve for x
    x = 71,943,612.80/7,412.54
  6. Step 6: Final answer
    x = 9,705.66

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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.