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Finding the Fourth Proportional to 7,592.34, 10,483.65 and 5,230.38

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Solution

The fourth proportional to 7,592.34, 10,483.65 and 5,230.38 is: 7,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.34 : 10,483.65 = 5,230.38 : x
  2. Step 2: Convert to fraction form
    7,592.34/10,483.65 = 5,230.38/x
  3. Step 3: Cross multiply
    7,592.34x = 10,483.65 × 5,230.38
  4. Step 4: Simplify right side
    7,592.34x = 54,833,473.29
  5. Step 5: Solve for x
    x = 54,833,473.29/7,592.34
  6. Step 6: Final answer
    x = 7,222.21

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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.