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Finding the Fourth Proportional to 7,260.50, 10,897.44 and 4,492.58

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Solution

The fourth proportional to 7,260.50, 10,897.44 and 4,492.58 is: 6,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.50 : 10,897.44 = 4,492.58 : x
  2. Step 2: Convert to fraction form
    7,260.50/10,897.44 = 4,492.58/x
  3. Step 3: Cross multiply
    7,260.50x = 10,897.44 × 4,492.58
  4. Step 4: Simplify right side
    7,260.50x = 48,957,621.00
  5. Step 5: Solve for x
    x = 48,957,621.00/7,260.50
  6. Step 6: Final answer
    x = 6,743.01

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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.