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Finding the Fourth Proportional to 10,715.64, 16,073.46 and 2,924.66

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Solution

The fourth proportional to 10,715.64, 16,073.46 and 2,924.66 is: 4,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.64 : 16,073.46 = 2,924.66 : x
  2. Step 2: Convert to fraction form
    10,715.64/16,073.46 = 2,924.66/x
  3. Step 3: Cross multiply
    10,715.64x = 16,073.46 × 2,924.66
  4. Step 4: Simplify right side
    10,715.64x = 47,009,405.52
  5. Step 5: Solve for x
    x = 47,009,405.52/10,715.64
  6. Step 6: Final answer
    x = 4,386.99

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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.