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Finding the Fourth Proportional to 7,807.54, 10,772.69 and 5,290.10

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Solution

The fourth proportional to 7,807.54, 10,772.69 and 5,290.10 is: 7,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.54 : 10,772.69 = 5,290.10 : x
  2. Step 2: Convert to fraction form
    7,807.54/10,772.69 = 5,290.10/x
  3. Step 3: Cross multiply
    7,807.54x = 10,772.69 × 5,290.10
  4. Step 4: Simplify right side
    7,807.54x = 56,988,607.37
  5. Step 5: Solve for x
    x = 56,988,607.37/7,807.54
  6. Step 6: Final answer
    x = 7,299.18

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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.