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Finding the Fourth Proportional to 10,132.12, 13,980.81 and 5,655.97

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Solution

The fourth proportional to 10,132.12, 13,980.81 and 5,655.97 is: 7,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.12 : 13,980.81 = 5,655.97 : x
  2. Step 2: Convert to fraction form
    10,132.12/13,980.81 = 5,655.97/x
  3. Step 3: Cross multiply
    10,132.12x = 13,980.81 × 5,655.97
  4. Step 4: Simplify right side
    10,132.12x = 79,075,041.94
  5. Step 5: Solve for x
    x = 79,075,041.94/10,132.12
  6. Step 6: Final answer
    x = 7,804.39

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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.