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Finding the Fourth Proportional to 7,712.70, 10,633.58 and 6,294.93

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Solution

The fourth proportional to 7,712.70, 10,633.58 and 6,294.93 is: 8,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.70 : 10,633.58 = 6,294.93 : x
  2. Step 2: Convert to fraction form
    7,712.70/10,633.58 = 6,294.93/x
  3. Step 3: Cross multiply
    7,712.70x = 10,633.58 × 6,294.93
  4. Step 4: Simplify right side
    7,712.70x = 66,937,557.11
  5. Step 5: Solve for x
    x = 66,937,557.11/7,712.70
  6. Step 6: Final answer
    x = 8,678.88

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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.