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Finding the Fourth Proportional to 10,756.92, 14,841.90 and 6,563.64

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Solution

The fourth proportional to 10,756.92, 14,841.90 and 6,563.64 is: 9,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.92 : 14,841.90 = 6,563.64 : x
  2. Step 2: Convert to fraction form
    10,756.92/14,841.90 = 6,563.64/x
  3. Step 3: Cross multiply
    10,756.92x = 14,841.90 × 6,563.64
  4. Step 4: Simplify right side
    10,756.92x = 97,416,888.52
  5. Step 5: Solve for x
    x = 97,416,888.52/10,756.92
  6. Step 6: Final answer
    x = 9,056.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.