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Finding the Fourth Proportional to 8,570.84, 12,844.58 and 5,240.25

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Solution

The fourth proportional to 8,570.84, 12,844.58 and 5,240.25 is: 7,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.84 : 12,844.58 = 5,240.25 : x
  2. Step 2: Convert to fraction form
    8,570.84/12,844.58 = 5,240.25/x
  3. Step 3: Cross multiply
    8,570.84x = 12,844.58 × 5,240.25
  4. Step 4: Simplify right side
    8,570.84x = 67,308,784.14
  5. Step 5: Solve for x
    x = 67,308,784.14/8,570.84
  6. Step 6: Final answer
    x = 7,853.24

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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.