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Finding the Fourth Proportional to 7,807.08, 10,777.68 and 5,302.44

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Solution

The fourth proportional to 7,807.08, 10,777.68 and 5,302.44 is: 7,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.08 : 10,777.68 = 5,302.44 : x
  2. Step 2: Convert to fraction form
    7,807.08/10,777.68 = 5,302.44/x
  3. Step 3: Cross multiply
    7,807.08x = 10,777.68 × 5,302.44
  4. Step 4: Simplify right side
    7,807.08x = 57,148,001.54
  5. Step 5: Solve for x
    x = 57,148,001.54/7,807.08
  6. Step 6: Final answer
    x = 7,320.02

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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.