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Finding the Fourth Proportional to 7,702.16, 10,628.93 and 4,165.36

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Solution

The fourth proportional to 7,702.16, 10,628.93 and 4,165.36 is: 5,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.16 : 10,628.93 = 4,165.36 : x
  2. Step 2: Convert to fraction form
    7,702.16/10,628.93 = 4,165.36/x
  3. Step 3: Cross multiply
    7,702.16x = 10,628.93 × 4,165.36
  4. Step 4: Simplify right side
    7,702.16x = 44,273,343.56
  5. Step 5: Solve for x
    x = 44,273,343.56/7,702.16
  6. Step 6: Final answer
    x = 5,748.17

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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.