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Finding the Fourth Proportional to 7,702.49, 11,554.35 and 2,772.63

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Solution

The fourth proportional to 7,702.49, 11,554.35 and 2,772.63 is: 4,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.49 : 11,554.35 = 2,772.63 : x
  2. Step 2: Convert to fraction form
    7,702.49/11,554.35 = 2,772.63/x
  3. Step 3: Cross multiply
    7,702.49x = 11,554.35 × 2,772.63
  4. Step 4: Simplify right side
    7,702.49x = 32,035,927.04
  5. Step 5: Solve for x
    x = 32,035,927.04/7,702.49
  6. Step 6: Final answer
    x = 4,159.16

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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.