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Finding the Fourth Proportional to 12,708.16, 19,053.72 and 4,907.86

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Solution

The fourth proportional to 12,708.16, 19,053.72 and 4,907.86 is: 7,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.16 : 19,053.72 = 4,907.86 : x
  2. Step 2: Convert to fraction form
    12,708.16/19,053.72 = 4,907.86/x
  3. Step 3: Cross multiply
    12,708.16x = 19,053.72 × 4,907.86
  4. Step 4: Simplify right side
    12,708.16x = 93,512,894.97
  5. Step 5: Solve for x
    x = 93,512,894.97/12,708.16
  6. Step 6: Final answer
    x = 7,358.49

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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.