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Finding the Fourth Proportional to 10,354.03, 15,530.74 and 2,958.32

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Solution

The fourth proportional to 10,354.03, 15,530.74 and 2,958.32 is: 4,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.03 : 15,530.74 = 2,958.32 : x
  2. Step 2: Convert to fraction form
    10,354.03/15,530.74 = 2,958.32/x
  3. Step 3: Cross multiply
    10,354.03x = 15,530.74 × 2,958.32
  4. Step 4: Simplify right side
    10,354.03x = 45,944,930.19
  5. Step 5: Solve for x
    x = 45,944,930.19/10,354.03
  6. Step 6: Final answer
    x = 4,437.40

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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.