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Finding the Fourth Proportional to 7,005.17, 10,509 and 2,325.46

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Solution

The fourth proportional to 7,005.17, 10,509 and 2,325.46 is: 3,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.17 : 10,509 = 2,325.46 : x
  2. Step 2: Convert to fraction form
    7,005.17/10,509 = 2,325.46/x
  3. Step 3: Cross multiply
    7,005.17x = 10,509 × 2,325.46
  4. Step 4: Simplify right side
    7,005.17x = 24,438,259.14
  5. Step 5: Solve for x
    x = 24,438,259.14/7,005.17
  6. Step 6: Final answer
    x = 3,488.60

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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.