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Finding the Fourth Proportional to 10,582.12, 15,873.30 and 3,655

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Solution

The fourth proportional to 10,582.12, 15,873.30 and 3,655 is: 5,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.12 : 15,873.30 = 3,655 : x
  2. Step 2: Convert to fraction form
    10,582.12/15,873.30 = 3,655/x
  3. Step 3: Cross multiply
    10,582.12x = 15,873.30 × 3,655
  4. Step 4: Simplify right side
    10,582.12x = 58,016,911.50
  5. Step 5: Solve for x
    x = 58,016,911.50/10,582.12
  6. Step 6: Final answer
    x = 5,482.54

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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.