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Finding the Fourth Proportional to 7,505.64, 11,256 and 3,124.32

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Solution

The fourth proportional to 7,505.64, 11,256 and 3,124.32 is: 4,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.64 : 11,256 = 3,124.32 : x
  2. Step 2: Convert to fraction form
    7,505.64/11,256 = 3,124.32/x
  3. Step 3: Cross multiply
    7,505.64x = 11,256 × 3,124.32
  4. Step 4: Simplify right side
    7,505.64x = 35,167,345.92
  5. Step 5: Solve for x
    x = 35,167,345.92/7,505.64
  6. Step 6: Final answer
    x = 4,685.46

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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.