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Finding the Fourth Proportional to 7,148.72, 9,863.96 and 4,315.34

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Solution

The fourth proportional to 7,148.72, 9,863.96 and 4,315.34 is: 5,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.72 : 9,863.96 = 4,315.34 : x
  2. Step 2: Convert to fraction form
    7,148.72/9,863.96 = 4,315.34/x
  3. Step 3: Cross multiply
    7,148.72x = 9,863.96 × 4,315.34
  4. Step 4: Simplify right side
    7,148.72x = 42,566,341.15
  5. Step 5: Solve for x
    x = 42,566,341.15/7,148.72
  6. Step 6: Final answer
    x = 5,954.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.