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Finding the Fourth Proportional to 7,117.80, 9,827.08 and 4,601.12

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Solution

The fourth proportional to 7,117.80, 9,827.08 and 4,601.12 is: 6,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.80 : 9,827.08 = 4,601.12 : x
  2. Step 2: Convert to fraction form
    7,117.80/9,827.08 = 4,601.12/x
  3. Step 3: Cross multiply
    7,117.80x = 9,827.08 × 4,601.12
  4. Step 4: Simplify right side
    7,117.80x = 45,215,574.33
  5. Step 5: Solve for x
    x = 45,215,574.33/7,117.80
  6. Step 6: Final answer
    x = 6,352.46

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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.