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Finding the Fourth Proportional to 7,690.34, 10,618.35 and 4,710.24

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Solution

The fourth proportional to 7,690.34, 10,618.35 and 4,710.24 is: 6,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.34 : 10,618.35 = 4,710.24 : x
  2. Step 2: Convert to fraction form
    7,690.34/10,618.35 = 4,710.24/x
  3. Step 3: Cross multiply
    7,690.34x = 10,618.35 × 4,710.24
  4. Step 4: Simplify right side
    7,690.34x = 50,014,976.90
  5. Step 5: Solve for x
    x = 50,014,976.90/7,690.34
  6. Step 6: Final answer
    x = 6,503.61

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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.