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Finding the Fourth Proportional to 10,386, 15,580.64 and 3,462.12

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Solution

The fourth proportional to 10,386, 15,580.64 and 3,462.12 is: 5,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386 : 15,580.64 = 3,462.12 : x
  2. Step 2: Convert to fraction form
    10,386/15,580.64 = 3,462.12/x
  3. Step 3: Cross multiply
    10,386x = 15,580.64 × 3,462.12
  4. Step 4: Simplify right side
    10,386x = 53,942,045.36
  5. Step 5: Solve for x
    x = 53,942,045.36/10,386
  6. Step 6: Final answer
    x = 5,193.73

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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.