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Finding the Fourth Proportional to 10,347.33, 15,473.30 and 7,683.95

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Solution

The fourth proportional to 10,347.33, 15,473.30 and 7,683.95 is: 11,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.33 : 15,473.30 = 7,683.95 : x
  2. Step 2: Convert to fraction form
    10,347.33/15,473.30 = 7,683.95/x
  3. Step 3: Cross multiply
    10,347.33x = 15,473.30 × 7,683.95
  4. Step 4: Simplify right side
    10,347.33x = 118,895,947.75
  5. Step 5: Solve for x
    x = 118,895,947.75/10,347.33
  6. Step 6: Final answer
    x = 11,490.50

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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.