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Finding the Fourth Proportional to 7,281.48, 10,047.15 and 4,137.06

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Solution

The fourth proportional to 7,281.48, 10,047.15 and 4,137.06 is: 5,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.48 : 10,047.15 = 4,137.06 : x
  2. Step 2: Convert to fraction form
    7,281.48/10,047.15 = 4,137.06/x
  3. Step 3: Cross multiply
    7,281.48x = 10,047.15 × 4,137.06
  4. Step 4: Simplify right side
    7,281.48x = 41,565,662.38
  5. Step 5: Solve for x
    x = 41,565,662.38/7,281.48
  6. Step 6: Final answer
    x = 5,708.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.