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Finding the Fourth Proportional to 7,913.49, 11,870.19 and 3,232.50

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Solution

The fourth proportional to 7,913.49, 11,870.19 and 3,232.50 is: 4,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.49 : 11,870.19 = 3,232.50 : x
  2. Step 2: Convert to fraction form
    7,913.49/11,870.19 = 3,232.50/x
  3. Step 3: Cross multiply
    7,913.49x = 11,870.19 × 3,232.50
  4. Step 4: Simplify right side
    7,913.49x = 38,370,389.18
  5. Step 5: Solve for x
    x = 38,370,389.18/7,913.49
  6. Step 6: Final answer
    x = 4,848.73

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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.