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Finding the Fourth Proportional to 7,362.04, 11,045.12 and 2,978.48

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Solution

The fourth proportional to 7,362.04, 11,045.12 and 2,978.48 is: 4,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.04 : 11,045.12 = 2,978.48 : x
  2. Step 2: Convert to fraction form
    7,362.04/11,045.12 = 2,978.48/x
  3. Step 3: Cross multiply
    7,362.04x = 11,045.12 × 2,978.48
  4. Step 4: Simplify right side
    7,362.04x = 32,897,669.02
  5. Step 5: Solve for x
    x = 32,897,669.02/7,362.04
  6. Step 6: Final answer
    x = 4,468.55

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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.