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Finding the Fourth Proportional to 7,159.20, 9,880.80 and 4,176

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Solution

The fourth proportional to 7,159.20, 9,880.80 and 4,176 is: 5,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.20 : 9,880.80 = 4,176 : x
  2. Step 2: Convert to fraction form
    7,159.20/9,880.80 = 4,176/x
  3. Step 3: Cross multiply
    7,159.20x = 9,880.80 × 4,176
  4. Step 4: Simplify right side
    7,159.20x = 41,262,220.80
  5. Step 5: Solve for x
    x = 41,262,220.80/7,159.20
  6. Step 6: Final answer
    x = 5,763.52

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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.