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Finding the Fourth Proportional to 15,710.56, 23,560.80 and 6,945.28

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Solution

The fourth proportional to 15,710.56, 23,560.80 and 6,945.28 is: 10,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.56 : 23,560.80 = 6,945.28 : x
  2. Step 2: Convert to fraction form
    15,710.56/23,560.80 = 6,945.28/x
  3. Step 3: Cross multiply
    15,710.56x = 23,560.80 × 6,945.28
  4. Step 4: Simplify right side
    15,710.56x = 163,636,353.02
  5. Step 5: Solve for x
    x = 163,636,353.02/15,710.56
  6. Step 6: Final answer
    x = 10,415.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.