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Finding the Fourth Proportional to 10,033.38, 15,030.63 and 4,842.90

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Solution

The fourth proportional to 10,033.38, 15,030.63 and 4,842.90 is: 7,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.38 : 15,030.63 = 4,842.90 : x
  2. Step 2: Convert to fraction form
    10,033.38/15,030.63 = 4,842.90/x
  3. Step 3: Cross multiply
    10,033.38x = 15,030.63 × 4,842.90
  4. Step 4: Simplify right side
    10,033.38x = 72,791,838.03
  5. Step 5: Solve for x
    x = 72,791,838.03/10,033.38
  6. Step 6: Final answer
    x = 7,254.97

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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.