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Finding the Fourth Proportional to 10,690.40, 16,035.24 and 4,842.92

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Solution

The fourth proportional to 10,690.40, 16,035.24 and 4,842.92 is: 7,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.40 : 16,035.24 = 4,842.92 : x
  2. Step 2: Convert to fraction form
    10,690.40/16,035.24 = 4,842.92/x
  3. Step 3: Cross multiply
    10,690.40x = 16,035.24 × 4,842.92
  4. Step 4: Simplify right side
    10,690.40x = 77,657,384.50
  5. Step 5: Solve for x
    x = 77,657,384.50/10,690.40
  6. Step 6: Final answer
    x = 7,264.22

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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.