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Finding the Fourth Proportional to 10,580.82, 15,870.59 and 4,735.86

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Solution

The fourth proportional to 10,580.82, 15,870.59 and 4,735.86 is: 7,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.82 : 15,870.59 = 4,735.86 : x
  2. Step 2: Convert to fraction form
    10,580.82/15,870.59 = 4,735.86/x
  3. Step 3: Cross multiply
    10,580.82x = 15,870.59 × 4,735.86
  4. Step 4: Simplify right side
    10,580.82x = 75,160,892.36
  5. Step 5: Solve for x
    x = 75,160,892.36/10,580.82
  6. Step 6: Final answer
    x = 7,103.50

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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.