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Finding the Fourth Proportional to 7,643.66, 10,543.40 and 5,522.31

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Solution

The fourth proportional to 7,643.66, 10,543.40 and 5,522.31 is: 7,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.66 : 10,543.40 = 5,522.31 : x
  2. Step 2: Convert to fraction form
    7,643.66/10,543.40 = 5,522.31/x
  3. Step 3: Cross multiply
    7,643.66x = 10,543.40 × 5,522.31
  4. Step 4: Simplify right side
    7,643.66x = 58,223,895.64
  5. Step 5: Solve for x
    x = 58,223,895.64/7,643.66
  6. Step 6: Final answer
    x = 7,617.28

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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.