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Finding the Fourth Proportional to 7,504.67, 10,357.06 and 4,148.14

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Solution

The fourth proportional to 7,504.67, 10,357.06 and 4,148.14 is: 5,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.67 : 10,357.06 = 4,148.14 : x
  2. Step 2: Convert to fraction form
    7,504.67/10,357.06 = 4,148.14/x
  3. Step 3: Cross multiply
    7,504.67x = 10,357.06 × 4,148.14
  4. Step 4: Simplify right side
    7,504.67x = 42,962,498.61
  5. Step 5: Solve for x
    x = 42,962,498.61/7,504.67
  6. Step 6: Final answer
    x = 5,724.77

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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.