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Finding the Fourth Proportional to 7,700.16, 11,536.34 and 3,543.65

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Solution

The fourth proportional to 7,700.16, 11,536.34 and 3,543.65 is: 5,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.16 : 11,536.34 = 3,543.65 : x
  2. Step 2: Convert to fraction form
    7,700.16/11,536.34 = 3,543.65/x
  3. Step 3: Cross multiply
    7,700.16x = 11,536.34 × 3,543.65
  4. Step 4: Simplify right side
    7,700.16x = 40,880,675.84
  5. Step 5: Solve for x
    x = 40,880,675.84/7,700.16
  6. Step 6: Final answer
    x = 5,309.07

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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.