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Finding the Fourth Proportional to 11,423, 15,763.74 and 6,455

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Solution

The fourth proportional to 11,423, 15,763.74 and 6,455 is: 8,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423 : 15,763.74 = 6,455 : x
  2. Step 2: Convert to fraction form
    11,423/15,763.74 = 6,455/x
  3. Step 3: Cross multiply
    11,423x = 15,763.74 × 6,455
  4. Step 4: Simplify right side
    11,423x = 101,754,941.70
  5. Step 5: Solve for x
    x = 101,754,941.70/11,423
  6. Step 6: Final answer
    x = 8,907.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.