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Finding the Fourth Proportional to 8,490, 11,716.68 and 4,764.24

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Solution

The fourth proportional to 8,490, 11,716.68 and 4,764.24 is: 6,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490 : 11,716.68 = 4,764.24 : x
  2. Step 2: Convert to fraction form
    8,490/11,716.68 = 4,764.24/x
  3. Step 3: Cross multiply
    8,490x = 11,716.68 × 4,764.24
  4. Step 4: Simplify right side
    8,490x = 55,821,075.52
  5. Step 5: Solve for x
    x = 55,821,075.52/8,490
  6. Step 6: Final answer
    x = 6,574.92

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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.