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Finding the Fourth Proportional to 7,758.84, 10,707.99 and 4,573.13

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Solution

The fourth proportional to 7,758.84, 10,707.99 and 4,573.13 is: 6,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.84 : 10,707.99 = 4,573.13 : x
  2. Step 2: Convert to fraction form
    7,758.84/10,707.99 = 4,573.13/x
  3. Step 3: Cross multiply
    7,758.84x = 10,707.99 × 4,573.13
  4. Step 4: Simplify right side
    7,758.84x = 48,969,030.31
  5. Step 5: Solve for x
    x = 48,969,030.31/7,758.84
  6. Step 6: Final answer
    x = 6,311.39

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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.