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Finding the Fourth Proportional to 12,975.66, 17,905.34 and 7,308.60

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Solution

The fourth proportional to 12,975.66, 17,905.34 and 7,308.60 is: 10,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.66 : 17,905.34 = 7,308.60 : x
  2. Step 2: Convert to fraction form
    12,975.66/17,905.34 = 7,308.60/x
  3. Step 3: Cross multiply
    12,975.66x = 17,905.34 × 7,308.60
  4. Step 4: Simplify right side
    12,975.66x = 130,862,931.38
  5. Step 5: Solve for x
    x = 130,862,931.38/12,975.66
  6. Step 6: Final answer
    x = 10,085.26

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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.