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Finding the Fourth Proportional to 7,715.46, 11,570.28 and 2,783.88

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Solution

The fourth proportional to 7,715.46, 11,570.28 and 2,783.88 is: 4,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.46 : 11,570.28 = 2,783.88 : x
  2. Step 2: Convert to fraction form
    7,715.46/11,570.28 = 2,783.88/x
  3. Step 3: Cross multiply
    7,715.46x = 11,570.28 × 2,783.88
  4. Step 4: Simplify right side
    7,715.46x = 32,210,271.09
  5. Step 5: Solve for x
    x = 32,210,271.09/7,715.46
  6. Step 6: Final answer
    x = 4,174.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.