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Finding the Fourth Proportional to 7,496.50, 10,345.17 and 4,354.51

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Solution

The fourth proportional to 7,496.50, 10,345.17 and 4,354.51 is: 6,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.50 : 10,345.17 = 4,354.51 : x
  2. Step 2: Convert to fraction form
    7,496.50/10,345.17 = 4,354.51/x
  3. Step 3: Cross multiply
    7,496.50x = 10,345.17 × 4,354.51
  4. Step 4: Simplify right side
    7,496.50x = 45,048,146.22
  5. Step 5: Solve for x
    x = 45,048,146.22/7,496.50
  6. Step 6: Final answer
    x = 6,009.22

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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.