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Finding the Fourth Proportional to 10,483.77, 15,723.86 and 3,088.17

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Solution

The fourth proportional to 10,483.77, 15,723.86 and 3,088.17 is: 4,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.77 : 15,723.86 = 3,088.17 : x
  2. Step 2: Convert to fraction form
    10,483.77/15,723.86 = 3,088.17/x
  3. Step 3: Cross multiply
    10,483.77x = 15,723.86 × 3,088.17
  4. Step 4: Simplify right side
    10,483.77x = 48,557,937.30
  5. Step 5: Solve for x
    x = 48,557,937.30/10,483.77
  6. Step 6: Final answer
    x = 4,631.72

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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.