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Finding the Fourth Proportional to 10,205.04, 15,304.68 and 2,807.70

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Solution

The fourth proportional to 10,205.04, 15,304.68 and 2,807.70 is: 4,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.04 : 15,304.68 = 2,807.70 : x
  2. Step 2: Convert to fraction form
    10,205.04/15,304.68 = 2,807.70/x
  3. Step 3: Cross multiply
    10,205.04x = 15,304.68 × 2,807.70
  4. Step 4: Simplify right side
    10,205.04x = 42,970,950.04
  5. Step 5: Solve for x
    x = 42,970,950.04/10,205.04
  6. Step 6: Final answer
    x = 4,210.76

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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.