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Finding the Fourth Proportional to 7,008.17, 9,671.20 and 4,024.94

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Solution

The fourth proportional to 7,008.17, 9,671.20 and 4,024.94 is: 5,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.17 : 9,671.20 = 4,024.94 : x
  2. Step 2: Convert to fraction form
    7,008.17/9,671.20 = 4,024.94/x
  3. Step 3: Cross multiply
    7,008.17x = 9,671.20 × 4,024.94
  4. Step 4: Simplify right side
    7,008.17x = 38,925,941.31
  5. Step 5: Solve for x
    x = 38,925,941.31/7,008.17
  6. Step 6: Final answer
    x = 5,554.37

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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.