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Finding the Fourth Proportional to 12,973.54, 17,902.47 and 7,308.04

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Solution

The fourth proportional to 12,973.54, 17,902.47 and 7,308.04 is: 10,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.54 : 17,902.47 = 7,308.04 : x
  2. Step 2: Convert to fraction form
    12,973.54/17,902.47 = 7,308.04/x
  3. Step 3: Cross multiply
    12,973.54x = 17,902.47 × 7,308.04
  4. Step 4: Simplify right side
    12,973.54x = 130,831,966.86
  5. Step 5: Solve for x
    x = 130,831,966.86/12,973.54
  6. Step 6: Final answer
    x = 10,084.52

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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.