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Finding the Fourth Proportional to 10,155.84, 15,223.76 and 4,889.36

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Solution

The fourth proportional to 10,155.84, 15,223.76 and 4,889.36 is: 7,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.84 : 15,223.76 = 4,889.36 : x
  2. Step 2: Convert to fraction form
    10,155.84/15,223.76 = 4,889.36/x
  3. Step 3: Cross multiply
    10,155.84x = 15,223.76 × 4,889.36
  4. Step 4: Simplify right side
    10,155.84x = 74,434,443.19
  5. Step 5: Solve for x
    x = 74,434,443.19/10,155.84
  6. Step 6: Final answer
    x = 7,329.23

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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.