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Finding the Fourth Proportional to 7,830.57, 11,742.12 and 4,544.58

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Solution

The fourth proportional to 7,830.57, 11,742.12 and 4,544.58 is: 6,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.57 : 11,742.12 = 4,544.58 : x
  2. Step 2: Convert to fraction form
    7,830.57/11,742.12 = 4,544.58/x
  3. Step 3: Cross multiply
    7,830.57x = 11,742.12 × 4,544.58
  4. Step 4: Simplify right side
    7,830.57x = 53,363,003.71
  5. Step 5: Solve for x
    x = 53,363,003.71/7,830.57
  6. Step 6: Final answer
    x = 6,814.70

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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.