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Finding the Fourth Proportional to 7,505.80, 10,357.54 and 4,148.55

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Solution

The fourth proportional to 7,505.80, 10,357.54 and 4,148.55 is: 5,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.80 : 10,357.54 = 4,148.55 : x
  2. Step 2: Convert to fraction form
    7,505.80/10,357.54 = 4,148.55/x
  3. Step 3: Cross multiply
    7,505.80x = 10,357.54 × 4,148.55
  4. Step 4: Simplify right side
    7,505.80x = 42,968,762.20
  5. Step 5: Solve for x
    x = 42,968,762.20/7,505.80
  6. Step 6: Final answer
    x = 5,724.74

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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.