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Finding the Fourth Proportional to 6,870.48, 10,289.69 and 5,017

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Solution

The fourth proportional to 6,870.48, 10,289.69 and 5,017 is: 7,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.48 : 10,289.69 = 5,017 : x
  2. Step 2: Convert to fraction form
    6,870.48/10,289.69 = 5,017/x
  3. Step 3: Cross multiply
    6,870.48x = 10,289.69 × 5,017
  4. Step 4: Simplify right side
    6,870.48x = 51,623,374.73
  5. Step 5: Solve for x
    x = 51,623,374.73/6,870.48
  6. Step 6: Final answer
    x = 7,513.79

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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.