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Finding the Fourth Proportional to 7,040.17, 9,712.67 and 4,521.93

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Solution

The fourth proportional to 7,040.17, 9,712.67 and 4,521.93 is: 6,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.17 : 9,712.67 = 4,521.93 : x
  2. Step 2: Convert to fraction form
    7,040.17/9,712.67 = 4,521.93/x
  3. Step 3: Cross multiply
    7,040.17x = 9,712.67 × 4,521.93
  4. Step 4: Simplify right side
    7,040.17x = 43,920,025.16
  5. Step 5: Solve for x
    x = 43,920,025.16/7,040.17
  6. Step 6: Final answer
    x = 6,238.49

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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.