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Finding the Fourth Proportional to 7,712.57, 10,643.35 and 4,175.77

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Solution

The fourth proportional to 7,712.57, 10,643.35 and 4,175.77 is: 5,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.57 : 10,643.35 = 4,175.77 : x
  2. Step 2: Convert to fraction form
    7,712.57/10,643.35 = 4,175.77/x
  3. Step 3: Cross multiply
    7,712.57x = 10,643.35 × 4,175.77
  4. Step 4: Simplify right side
    7,712.57x = 44,444,181.63
  5. Step 5: Solve for x
    x = 44,444,181.63/7,712.57
  6. Step 6: Final answer
    x = 5,762.56

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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.