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Finding the Fourth Proportional to 7,522.88, 11,284.32 and 3,416

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Solution

The fourth proportional to 7,522.88, 11,284.32 and 3,416 is: 5,124

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.88 : 11,284.32 = 3,416 : x
  2. Step 2: Convert to fraction form
    7,522.88/11,284.32 = 3,416/x
  3. Step 3: Cross multiply
    7,522.88x = 11,284.32 × 3,416
  4. Step 4: Simplify right side
    7,522.88x = 38,547,237.12
  5. Step 5: Solve for x
    x = 38,547,237.12/7,522.88
  6. Step 6: Final answer
    x = 5,124

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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.