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Finding the Fourth Proportional to 10,200.90, 15,298.92 and 2,805.93

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Solution

The fourth proportional to 10,200.90, 15,298.92 and 2,805.93 is: 4,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.90 : 15,298.92 = 2,805.93 : x
  2. Step 2: Convert to fraction form
    10,200.90/15,298.92 = 2,805.93/x
  3. Step 3: Cross multiply
    10,200.90x = 15,298.92 × 2,805.93
  4. Step 4: Simplify right side
    10,200.90x = 42,927,698.60
  5. Step 5: Solve for x
    x = 42,927,698.60/10,200.90
  6. Step 6: Final answer
    x = 4,208.23

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