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Finding the Fourth Proportional to 6,871.68, 10,307.52 and 4,828.80

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Solution

The fourth proportional to 6,871.68, 10,307.52 and 4,828.80 is: 7,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.68 : 10,307.52 = 4,828.80 : x
  2. Step 2: Convert to fraction form
    6,871.68/10,307.52 = 4,828.80/x
  3. Step 3: Cross multiply
    6,871.68x = 10,307.52 × 4,828.80
  4. Step 4: Simplify right side
    6,871.68x = 49,772,952.58
  5. Step 5: Solve for x
    x = 49,772,952.58/6,871.68
  6. Step 6: Final answer
    x = 7,243.20

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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.