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Finding the Fourth Proportional to 7,462.50, 10,298.50 and 4,105.58

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Solution

The fourth proportional to 7,462.50, 10,298.50 and 4,105.58 is: 5,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.50 : 10,298.50 = 4,105.58 : x
  2. Step 2: Convert to fraction form
    7,462.50/10,298.50 = 4,105.58/x
  3. Step 3: Cross multiply
    7,462.50x = 10,298.50 × 4,105.58
  4. Step 4: Simplify right side
    7,462.50x = 42,281,315.63
  5. Step 5: Solve for x
    x = 42,281,315.63/7,462.50
  6. Step 6: Final answer
    x = 5,665.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.