Home / 10,507.68-15,758.16-3,583.20

Finding the Fourth Proportional to 10,507.68, 15,758.16 and 3,583.20

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Solution

The fourth proportional to 10,507.68, 15,758.16 and 3,583.20 is: 5,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.68 : 15,758.16 = 3,583.20 : x
  2. Step 2: Convert to fraction form
    10,507.68/15,758.16 = 3,583.20/x
  3. Step 3: Cross multiply
    10,507.68x = 15,758.16 × 3,583.20
  4. Step 4: Simplify right side
    10,507.68x = 56,464,638.91
  5. Step 5: Solve for x
    x = 56,464,638.91/10,507.68
  6. Step 6: Final answer
    x = 5,373.65

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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.