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Finding the Fourth Proportional to 10,264.36, 15,402.48 and 5,584.84

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Solution

The fourth proportional to 10,264.36, 15,402.48 and 5,584.84 is: 8,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.36 : 15,402.48 = 5,584.84 : x
  2. Step 2: Convert to fraction form
    10,264.36/15,402.48 = 5,584.84/x
  3. Step 3: Cross multiply
    10,264.36x = 15,402.48 × 5,584.84
  4. Step 4: Simplify right side
    10,264.36x = 86,020,386.40
  5. Step 5: Solve for x
    x = 86,020,386.40/10,264.36
  6. Step 6: Final answer
    x = 8,380.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.