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Finding the Fourth Proportional to 7,811.46, 10,780.16 and 4,824.99

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Solution

The fourth proportional to 7,811.46, 10,780.16 and 4,824.99 is: 6,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.46 : 10,780.16 = 4,824.99 : x
  2. Step 2: Convert to fraction form
    7,811.46/10,780.16 = 4,824.99/x
  3. Step 3: Cross multiply
    7,811.46x = 10,780.16 × 4,824.99
  4. Step 4: Simplify right side
    7,811.46x = 52,014,140.07
  5. Step 5: Solve for x
    x = 52,014,140.07/7,811.46
  6. Step 6: Final answer
    x = 6,658.70

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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.