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Finding the Fourth Proportional to 7,853.01, 10,830.63 and 5,200.65

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Solution

The fourth proportional to 7,853.01, 10,830.63 and 5,200.65 is: 7,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.01 : 10,830.63 = 5,200.65 : x
  2. Step 2: Convert to fraction form
    7,853.01/10,830.63 = 5,200.65/x
  3. Step 3: Cross multiply
    7,853.01x = 10,830.63 × 5,200.65
  4. Step 4: Simplify right side
    7,853.01x = 56,326,315.91
  5. Step 5: Solve for x
    x = 56,326,315.91/7,853.01
  6. Step 6: Final answer
    x = 7,172.58

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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.