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Finding the Fourth Proportional to 7,130.07, 9,840.11 and 4,145.72

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Solution

The fourth proportional to 7,130.07, 9,840.11 and 4,145.72 is: 5,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.07 : 9,840.11 = 4,145.72 : x
  2. Step 2: Convert to fraction form
    7,130.07/9,840.11 = 4,145.72/x
  3. Step 3: Cross multiply
    7,130.07x = 9,840.11 × 4,145.72
  4. Step 4: Simplify right side
    7,130.07x = 40,794,270.90
  5. Step 5: Solve for x
    x = 40,794,270.90/7,130.07
  6. Step 6: Final answer
    x = 5,721.44

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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.