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Finding the Fourth Proportional to 10,715.61, 16,063.70 and 4,146.72

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Solution

The fourth proportional to 10,715.61, 16,063.70 and 4,146.72 is: 6,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.61 : 16,063.70 = 4,146.72 : x
  2. Step 2: Convert to fraction form
    10,715.61/16,063.70 = 4,146.72/x
  3. Step 3: Cross multiply
    10,715.61x = 16,063.70 × 4,146.72
  4. Step 4: Simplify right side
    10,715.61x = 66,611,666.06
  5. Step 5: Solve for x
    x = 66,611,666.06/10,715.61
  6. Step 6: Final answer
    x = 6,216.32

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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.