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Finding the Fourth Proportional to 7,905.02, 11,857.10 and 4,009.32

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Solution

The fourth proportional to 7,905.02, 11,857.10 and 4,009.32 is: 6,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.02 : 11,857.10 = 4,009.32 : x
  2. Step 2: Convert to fraction form
    7,905.02/11,857.10 = 4,009.32/x
  3. Step 3: Cross multiply
    7,905.02x = 11,857.10 × 4,009.32
  4. Step 4: Simplify right side
    7,905.02x = 47,538,888.13
  5. Step 5: Solve for x
    x = 47,538,888.13/7,905.02
  6. Step 6: Final answer
    x = 6,013.76

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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.