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Finding the Fourth Proportional to 6,897.95, 10,352.12 and 5,053.79

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Solution

The fourth proportional to 6,897.95, 10,352.12 and 5,053.79 is: 7,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.95 : 10,352.12 = 5,053.79 : x
  2. Step 2: Convert to fraction form
    6,897.95/10,352.12 = 5,053.79/x
  3. Step 3: Cross multiply
    6,897.95x = 10,352.12 × 5,053.79
  4. Step 4: Simplify right side
    6,897.95x = 52,317,363.51
  5. Step 5: Solve for x
    x = 52,317,363.51/6,897.95
  6. Step 6: Final answer
    x = 7,584.49

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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.