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Finding the Fourth Proportional to 7,460.04, 10,362.33 and 7,341

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Solution

The fourth proportional to 7,460.04, 10,362.33 and 7,341 is: 10,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.04 : 10,362.33 = 7,341 : x
  2. Step 2: Convert to fraction form
    7,460.04/10,362.33 = 7,341/x
  3. Step 3: Cross multiply
    7,460.04x = 10,362.33 × 7,341
  4. Step 4: Simplify right side
    7,460.04x = 76,069,864.53
  5. Step 5: Solve for x
    x = 76,069,864.53/7,460.04
  6. Step 6: Final answer
    x = 10,196.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.