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Finding the Fourth Proportional to 6,871.84, 10,307.49 and 2,710.60

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Solution

The fourth proportional to 6,871.84, 10,307.49 and 2,710.60 is: 4,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.84 : 10,307.49 = 2,710.60 : x
  2. Step 2: Convert to fraction form
    6,871.84/10,307.49 = 2,710.60/x
  3. Step 3: Cross multiply
    6,871.84x = 10,307.49 × 2,710.60
  4. Step 4: Simplify right side
    6,871.84x = 27,939,482.39
  5. Step 5: Solve for x
    x = 27,939,482.39/6,871.84
  6. Step 6: Final answer
    x = 4,065.79

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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.