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Finding the Fourth Proportional to 10,478.35, 14,454.48 and 7,121.17

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Solution

The fourth proportional to 10,478.35, 14,454.48 and 7,121.17 is: 9,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.35 : 14,454.48 = 7,121.17 : x
  2. Step 2: Convert to fraction form
    10,478.35/14,454.48 = 7,121.17/x
  3. Step 3: Cross multiply
    10,478.35x = 14,454.48 × 7,121.17
  4. Step 4: Simplify right side
    10,478.35x = 102,932,809.34
  5. Step 5: Solve for x
    x = 102,932,809.34/10,478.35
  6. Step 6: Final answer
    x = 9,823.38

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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.