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Finding the Fourth Proportional to 10,476.94, 15,712.96 and 4,934.10

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Solution

The fourth proportional to 10,476.94, 15,712.96 and 4,934.10 is: 7,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.94 : 15,712.96 = 4,934.10 : x
  2. Step 2: Convert to fraction form
    10,476.94/15,712.96 = 4,934.10/x
  3. Step 3: Cross multiply
    10,476.94x = 15,712.96 × 4,934.10
  4. Step 4: Simplify right side
    10,476.94x = 77,529,315.94
  5. Step 5: Solve for x
    x = 77,529,315.94/10,476.94
  6. Step 6: Final answer
    x = 7,400.00

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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.