Home / 10,296.96-14,209.56-5,820

Finding the Fourth Proportional to 10,296.96, 14,209.56 and 5,820

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Solution

The fourth proportional to 10,296.96, 14,209.56 and 5,820 is: 8,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.96 : 14,209.56 = 5,820 : x
  2. Step 2: Convert to fraction form
    10,296.96/14,209.56 = 5,820/x
  3. Step 3: Cross multiply
    10,296.96x = 14,209.56 × 5,820
  4. Step 4: Simplify right side
    10,296.96x = 82,699,639.20
  5. Step 5: Solve for x
    x = 82,699,639.20/10,296.96
  6. Step 6: Final answer
    x = 8,031.46

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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.