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Finding the Fourth Proportional to 10,322.32, 15,477 and 4,701.73

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Solution

The fourth proportional to 10,322.32, 15,477 and 4,701.73 is: 7,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.32 : 15,477 = 4,701.73 : x
  2. Step 2: Convert to fraction form
    10,322.32/15,477 = 4,701.73/x
  3. Step 3: Cross multiply
    10,322.32x = 15,477 × 4,701.73
  4. Step 4: Simplify right side
    10,322.32x = 72,768,675.21
  5. Step 5: Solve for x
    x = 72,768,675.21/10,322.32
  6. Step 6: Final answer
    x = 7,049.64

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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.