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Finding the Fourth Proportional to 8,874.64, 13,314.32 and 3,031.24

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Solution

The fourth proportional to 8,874.64, 13,314.32 and 3,031.24 is: 4,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.64 : 13,314.32 = 3,031.24 : x
  2. Step 2: Convert to fraction form
    8,874.64/13,314.32 = 3,031.24/x
  3. Step 3: Cross multiply
    8,874.64x = 13,314.32 × 3,031.24
  4. Step 4: Simplify right side
    8,874.64x = 40,358,899.36
  5. Step 5: Solve for x
    x = 40,358,899.36/8,874.64
  6. Step 6: Final answer
    x = 4,547.67

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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.