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Finding the Fourth Proportional to 10,666.10, 15,977.72 and 5,313.14

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Solution

The fourth proportional to 10,666.10, 15,977.72 and 5,313.14 is: 7,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.10 : 15,977.72 = 5,313.14 : x
  2. Step 2: Convert to fraction form
    10,666.10/15,977.72 = 5,313.14/x
  3. Step 3: Cross multiply
    10,666.10x = 15,977.72 × 5,313.14
  4. Step 4: Simplify right side
    10,666.10x = 84,891,756.79
  5. Step 5: Solve for x
    x = 84,891,756.79/10,666.10
  6. Step 6: Final answer
    x = 7,959.03

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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.