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Finding the Fourth Proportional to 7,346.34, 10,124.70 and 5,353.74

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Solution

The fourth proportional to 7,346.34, 10,124.70 and 5,353.74 is: 7,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.34 : 10,124.70 = 5,353.74 : x
  2. Step 2: Convert to fraction form
    7,346.34/10,124.70 = 5,353.74/x
  3. Step 3: Cross multiply
    7,346.34x = 10,124.70 × 5,353.74
  4. Step 4: Simplify right side
    7,346.34x = 54,205,011.38
  5. Step 5: Solve for x
    x = 54,205,011.38/7,346.34
  6. Step 6: Final answer
    x = 7,378.51

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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.