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Finding the Fourth Proportional to 7,384.50, 11,070.54 and 3,005.10

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Solution

The fourth proportional to 7,384.50, 11,070.54 and 3,005.10 is: 4,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.50 : 11,070.54 = 3,005.10 : x
  2. Step 2: Convert to fraction form
    7,384.50/11,070.54 = 3,005.10/x
  3. Step 3: Cross multiply
    7,384.50x = 11,070.54 × 3,005.10
  4. Step 4: Simplify right side
    7,384.50x = 33,268,079.75
  5. Step 5: Solve for x
    x = 33,268,079.75/7,384.50
  6. Step 6: Final answer
    x = 4,505.12

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Why These Related Problems?

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