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Finding the Fourth Proportional to 7,401.51, 11,089.71 and 6,466.77

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Solution

The fourth proportional to 7,401.51, 11,089.71 and 6,466.77 is: 9,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.51 : 11,089.71 = 6,466.77 : x
  2. Step 2: Convert to fraction form
    7,401.51/11,089.71 = 6,466.77/x
  3. Step 3: Cross multiply
    7,401.51x = 11,089.71 × 6,466.77
  4. Step 4: Simplify right side
    7,401.51x = 71,714,603.94
  5. Step 5: Solve for x
    x = 71,714,603.94/7,401.51
  6. Step 6: Final answer
    x = 9,689.19

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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.