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Finding the Fourth Proportional to 7,505.93, 10,358.06 and 4,148.69

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Solution

The fourth proportional to 7,505.93, 10,358.06 and 4,148.69 is: 5,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.93 : 10,358.06 = 4,148.69 : x
  2. Step 2: Convert to fraction form
    7,505.93/10,358.06 = 4,148.69/x
  3. Step 3: Cross multiply
    7,505.93x = 10,358.06 × 4,148.69
  4. Step 4: Simplify right side
    7,505.93x = 42,972,338.52
  5. Step 5: Solve for x
    x = 42,972,338.52/7,505.93
  6. Step 6: Final answer
    x = 5,725.12

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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.