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Finding the Fourth Proportional to 7,902.61, 10,900.77 and 4,713.82

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Solution

The fourth proportional to 7,902.61, 10,900.77 and 4,713.82 is: 6,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.61 : 10,900.77 = 4,713.82 : x
  2. Step 2: Convert to fraction form
    7,902.61/10,900.77 = 4,713.82/x
  3. Step 3: Cross multiply
    7,902.61x = 10,900.77 × 4,713.82
  4. Step 4: Simplify right side
    7,902.61x = 51,384,267.64
  5. Step 5: Solve for x
    x = 51,384,267.64/7,902.61
  6. Step 6: Final answer
    x = 6,502.19

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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.