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Finding the Fourth Proportional to 8,405.48, 11,598.18 and 5,093.48

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Solution

The fourth proportional to 8,405.48, 11,598.18 and 5,093.48 is: 7,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.48 : 11,598.18 = 5,093.48 : x
  2. Step 2: Convert to fraction form
    8,405.48/11,598.18 = 5,093.48/x
  3. Step 3: Cross multiply
    8,405.48x = 11,598.18 × 5,093.48
  4. Step 4: Simplify right side
    8,405.48x = 59,075,097.87
  5. Step 5: Solve for x
    x = 59,075,097.87/8,405.48
  6. Step 6: Final answer
    x = 7,028.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.