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Finding the Fourth Proportional to 7,712.69, 10,643.47 and 4,175.89

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Solution

The fourth proportional to 7,712.69, 10,643.47 and 4,175.89 is: 5,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.69 : 10,643.47 = 4,175.89 : x
  2. Step 2: Convert to fraction form
    7,712.69/10,643.47 = 4,175.89/x
  3. Step 3: Cross multiply
    7,712.69x = 10,643.47 × 4,175.89
  4. Step 4: Simplify right side
    7,712.69x = 44,445,922.89
  5. Step 5: Solve for x
    x = 44,445,922.89/7,712.69
  6. Step 6: Final answer
    x = 5,762.70

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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.