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Finding the Fourth Proportional to 10,972.74, 15,111.99 and 9,480.18

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Solution

The fourth proportional to 10,972.74, 15,111.99 and 9,480.18 is: 13,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.74 : 15,111.99 = 9,480.18 : x
  2. Step 2: Convert to fraction form
    10,972.74/15,111.99 = 9,480.18/x
  3. Step 3: Cross multiply
    10,972.74x = 15,111.99 × 9,480.18
  4. Step 4: Simplify right side
    10,972.74x = 143,264,385.36
  5. Step 5: Solve for x
    x = 143,264,385.36/10,972.74
  6. Step 6: Final answer
    x = 13,056.39

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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.