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Finding the Fourth Proportional to 10,867.65, 16,300.17 and 2,970.75

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Solution

The fourth proportional to 10,867.65, 16,300.17 and 2,970.75 is: 4,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.65 : 16,300.17 = 2,970.75 : x
  2. Step 2: Convert to fraction form
    10,867.65/16,300.17 = 2,970.75/x
  3. Step 3: Cross multiply
    10,867.65x = 16,300.17 × 2,970.75
  4. Step 4: Simplify right side
    10,867.65x = 48,423,730.03
  5. Step 5: Solve for x
    x = 48,423,730.03/10,867.65
  6. Step 6: Final answer
    x = 4,455.77

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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.