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Finding the Fourth Proportional to 10,978.25, 15,145.85 and 7,203.50

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Solution

The fourth proportional to 10,978.25, 15,145.85 and 7,203.50 is: 9,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.25 : 15,145.85 = 7,203.50 : x
  2. Step 2: Convert to fraction form
    10,978.25/15,145.85 = 7,203.50/x
  3. Step 3: Cross multiply
    10,978.25x = 15,145.85 × 7,203.50
  4. Step 4: Simplify right side
    10,978.25x = 109,103,130.48
  5. Step 5: Solve for x
    x = 109,103,130.48/10,978.25
  6. Step 6: Final answer
    x = 9,938.12

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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.