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Finding the Fourth Proportional to 7,505.16, 10,357.30 and 4,148.20

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Solution

The fourth proportional to 7,505.16, 10,357.30 and 4,148.20 is: 5,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.16 : 10,357.30 = 4,148.20 : x
  2. Step 2: Convert to fraction form
    7,505.16/10,357.30 = 4,148.20/x
  3. Step 3: Cross multiply
    7,505.16x = 10,357.30 × 4,148.20
  4. Step 4: Simplify right side
    7,505.16x = 42,964,151.86
  5. Step 5: Solve for x
    x = 42,964,151.86/7,505.16
  6. Step 6: Final answer
    x = 5,724.62

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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.