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Finding the Fourth Proportional to 7,723.62, 10,666.18 and 6,598

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Solution

The fourth proportional to 7,723.62, 10,666.18 and 6,598 is: 9,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.62 : 10,666.18 = 6,598 : x
  2. Step 2: Convert to fraction form
    7,723.62/10,666.18 = 6,598/x
  3. Step 3: Cross multiply
    7,723.62x = 10,666.18 × 6,598
  4. Step 4: Simplify right side
    7,723.62x = 70,375,455.64
  5. Step 5: Solve for x
    x = 70,375,455.64/7,723.62
  6. Step 6: Final answer
    x = 9,111.72

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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.