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Finding the Fourth Proportional to 7,707.53, 11,543.59 and 4,896.16

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Solution

The fourth proportional to 7,707.53, 11,543.59 and 4,896.16 is: 7,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.53 : 11,543.59 = 4,896.16 : x
  2. Step 2: Convert to fraction form
    7,707.53/11,543.59 = 4,896.16/x
  3. Step 3: Cross multiply
    7,707.53x = 11,543.59 × 4,896.16
  4. Step 4: Simplify right side
    7,707.53x = 56,519,240.88
  5. Step 5: Solve for x
    x = 56,519,240.88/7,707.53
  6. Step 6: Final answer
    x = 7,332.99

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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.