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Finding the Fourth Proportional to 10,465.42, 15,698.10 and 2,674.24

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Solution

The fourth proportional to 10,465.42, 15,698.10 and 2,674.24 is: 4,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.42 : 15,698.10 = 2,674.24 : x
  2. Step 2: Convert to fraction form
    10,465.42/15,698.10 = 2,674.24/x
  3. Step 3: Cross multiply
    10,465.42x = 15,698.10 × 2,674.24
  4. Step 4: Simplify right side
    10,465.42x = 41,980,486.94
  5. Step 5: Solve for x
    x = 41,980,486.94/10,465.42
  6. Step 6: Final answer
    x = 4,011.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.