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Finding the Fourth Proportional to 7,702.40, 11,555.53 and 4,191.46

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Solution

The fourth proportional to 7,702.40, 11,555.53 and 4,191.46 is: 6,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.40 : 11,555.53 = 4,191.46 : x
  2. Step 2: Convert to fraction form
    7,702.40/11,555.53 = 4,191.46/x
  3. Step 3: Cross multiply
    7,702.40x = 11,555.53 × 4,191.46
  4. Step 4: Simplify right side
    7,702.40x = 48,434,502.41
  5. Step 5: Solve for x
    x = 48,434,502.41/7,702.40
  6. Step 6: Final answer
    x = 6,288.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.