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Finding the Fourth Proportional to 7,782.71, 10,740.17 and 4,246

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Solution

The fourth proportional to 7,782.71, 10,740.17 and 4,246 is: 5,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.71 : 10,740.17 = 4,246 : x
  2. Step 2: Convert to fraction form
    7,782.71/10,740.17 = 4,246/x
  3. Step 3: Cross multiply
    7,782.71x = 10,740.17 × 4,246
  4. Step 4: Simplify right side
    7,782.71x = 45,602,761.82
  5. Step 5: Solve for x
    x = 45,602,761.82/7,782.71
  6. Step 6: Final answer
    x = 5,859.50

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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.