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Finding the Fourth Proportional to 7,702.16, 11,554.04 and 3,802.80

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Solution

The fourth proportional to 7,702.16, 11,554.04 and 3,802.80 is: 5,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.16 : 11,554.04 = 3,802.80 : x
  2. Step 2: Convert to fraction form
    7,702.16/11,554.04 = 3,802.80/x
  3. Step 3: Cross multiply
    7,702.16x = 11,554.04 × 3,802.80
  4. Step 4: Simplify right side
    7,702.16x = 43,937,703.31
  5. Step 5: Solve for x
    x = 43,937,703.31/7,702.16
  6. Step 6: Final answer
    x = 5,704.59

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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.