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Finding the Fourth Proportional to 7,664.66, 10,577 and 4,307.40

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Solution

The fourth proportional to 7,664.66, 10,577 and 4,307.40 is: 5,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.66 : 10,577 = 4,307.40 : x
  2. Step 2: Convert to fraction form
    7,664.66/10,577 = 4,307.40/x
  3. Step 3: Cross multiply
    7,664.66x = 10,577 × 4,307.40
  4. Step 4: Simplify right side
    7,664.66x = 45,559,369.80
  5. Step 5: Solve for x
    x = 45,559,369.80/7,664.66
  6. Step 6: Final answer
    x = 5,944.08

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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.