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Finding the Fourth Proportional to 10,384.85, 15,576.71 and 4,541.45

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Solution

The fourth proportional to 10,384.85, 15,576.71 and 4,541.45 is: 6,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.85 : 15,576.71 = 4,541.45 : x
  2. Step 2: Convert to fraction form
    10,384.85/15,576.71 = 4,541.45/x
  3. Step 3: Cross multiply
    10,384.85x = 15,576.71 × 4,541.45
  4. Step 4: Simplify right side
    10,384.85x = 70,740,749.04
  5. Step 5: Solve for x
    x = 70,740,749.04/10,384.85
  6. Step 6: Final answer
    x = 6,811.92

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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.