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Finding the Fourth Proportional to 7,680.96, 10,597.68 and 6,490.80

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Solution

The fourth proportional to 7,680.96, 10,597.68 and 6,490.80 is: 8,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.96 : 10,597.68 = 6,490.80 : x
  2. Step 2: Convert to fraction form
    7,680.96/10,597.68 = 6,490.80/x
  3. Step 3: Cross multiply
    7,680.96x = 10,597.68 × 6,490.80
  4. Step 4: Simplify right side
    7,680.96x = 68,787,421.34
  5. Step 5: Solve for x
    x = 68,787,421.34/7,680.96
  6. Step 6: Final answer
    x = 8,955.58

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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.