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Finding the Fourth Proportional to 10,513.77, 15,772.91 and 3,118.74

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Solution

The fourth proportional to 10,513.77, 15,772.91 and 3,118.74 is: 4,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.77 : 15,772.91 = 3,118.74 : x
  2. Step 2: Convert to fraction form
    10,513.77/15,772.91 = 3,118.74/x
  3. Step 3: Cross multiply
    10,513.77x = 15,772.91 × 3,118.74
  4. Step 4: Simplify right side
    10,513.77x = 49,191,510.88
  5. Step 5: Solve for x
    x = 49,191,510.88/10,513.77
  6. Step 6: Final answer
    x = 4,678.77

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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.