Home / 10,506.24-15,749.64-5,886

Finding the Fourth Proportional to 10,506.24, 15,749.64 and 5,886

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Solution

The fourth proportional to 10,506.24, 15,749.64 and 5,886 is: 8,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.24 : 15,749.64 = 5,886 : x
  2. Step 2: Convert to fraction form
    10,506.24/15,749.64 = 5,886/x
  3. Step 3: Cross multiply
    10,506.24x = 15,749.64 × 5,886
  4. Step 4: Simplify right side
    10,506.24x = 92,702,381.04
  5. Step 5: Solve for x
    x = 92,702,381.04/10,506.24
  6. Step 6: Final answer
    x = 8,823.55

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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.