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Finding the Fourth Proportional to 7,505.62, 10,357.74 and 4,148.40

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Solution

The fourth proportional to 7,505.62, 10,357.74 and 4,148.40 is: 5,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.62 : 10,357.74 = 4,148.40 : x
  2. Step 2: Convert to fraction form
    7,505.62/10,357.74 = 4,148.40/x
  3. Step 3: Cross multiply
    7,505.62x = 10,357.74 × 4,148.40
  4. Step 4: Simplify right side
    7,505.62x = 42,968,000.06
  5. Step 5: Solve for x
    x = 42,968,000.06/7,505.62
  6. Step 6: Final answer
    x = 5,724.78

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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.