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Finding the Fourth Proportional to 7,887.02, 11,827.18 and 3,501.47

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Solution

The fourth proportional to 7,887.02, 11,827.18 and 3,501.47 is: 5,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.02 : 11,827.18 = 3,501.47 : x
  2. Step 2: Convert to fraction form
    7,887.02/11,827.18 = 3,501.47/x
  3. Step 3: Cross multiply
    7,887.02x = 11,827.18 × 3,501.47
  4. Step 4: Simplify right side
    7,887.02x = 41,412,536.77
  5. Step 5: Solve for x
    x = 41,412,536.77/7,887.02
  6. Step 6: Final answer
    x = 5,250.72

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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.