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Finding the Fourth Proportional to 8,362.51, 12,532.75 and 4,666.48

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Solution

The fourth proportional to 8,362.51, 12,532.75 and 4,666.48 is: 6,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.51 : 12,532.75 = 4,666.48 : x
  2. Step 2: Convert to fraction form
    8,362.51/12,532.75 = 4,666.48/x
  3. Step 3: Cross multiply
    8,362.51x = 12,532.75 × 4,666.48
  4. Step 4: Simplify right side
    8,362.51x = 58,483,827.22
  5. Step 5: Solve for x
    x = 58,483,827.22/8,362.51
  6. Step 6: Final answer
    x = 6,993.57

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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.