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Finding the Fourth Proportional to 7,779.68, 10,727.76 and 5,513.12

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Solution

The fourth proportional to 7,779.68, 10,727.76 and 5,513.12 is: 7,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.68 : 10,727.76 = 5,513.12 : x
  2. Step 2: Convert to fraction form
    7,779.68/10,727.76 = 5,513.12/x
  3. Step 3: Cross multiply
    7,779.68x = 10,727.76 × 5,513.12
  4. Step 4: Simplify right side
    7,779.68x = 59,143,428.21
  5. Step 5: Solve for x
    x = 59,143,428.21/7,779.68
  6. Step 6: Final answer
    x = 7,602.30

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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.