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Finding the Fourth Proportional to 10,700.10, 16,056.63 and 5,509.62

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Solution

The fourth proportional to 10,700.10, 16,056.63 and 5,509.62 is: 8,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.10 : 16,056.63 = 5,509.62 : x
  2. Step 2: Convert to fraction form
    10,700.10/16,056.63 = 5,509.62/x
  3. Step 3: Cross multiply
    10,700.10x = 16,056.63 × 5,509.62
  4. Step 4: Simplify right side
    10,700.10x = 88,465,929.78
  5. Step 5: Solve for x
    x = 88,465,929.78/10,700.10
  6. Step 6: Final answer
    x = 8,267.77

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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.