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Finding the Fourth Proportional to 7,473.06, 10,312.86 and 4,116.21

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Solution

The fourth proportional to 7,473.06, 10,312.86 and 4,116.21 is: 5,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.06 : 10,312.86 = 4,116.21 : x
  2. Step 2: Convert to fraction form
    7,473.06/10,312.86 = 4,116.21/x
  3. Step 3: Cross multiply
    7,473.06x = 10,312.86 × 4,116.21
  4. Step 4: Simplify right side
    7,473.06x = 42,449,897.46
  5. Step 5: Solve for x
    x = 42,449,897.46/7,473.06
  6. Step 6: Final answer
    x = 5,680.39

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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.