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Finding the Fourth Proportional to 7,434.92, 10,259.62 and 4,289

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Solution

The fourth proportional to 7,434.92, 10,259.62 and 4,289 is: 5,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.92 : 10,259.62 = 4,289 : x
  2. Step 2: Convert to fraction form
    7,434.92/10,259.62 = 4,289/x
  3. Step 3: Cross multiply
    7,434.92x = 10,259.62 × 4,289
  4. Step 4: Simplify right side
    7,434.92x = 44,003,510.18
  5. Step 5: Solve for x
    x = 44,003,510.18/7,434.92
  6. Step 6: Final answer
    x = 5,918.49

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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.