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Finding the Fourth Proportional to 9,066.53, 12,511.74 and 5,087.63

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Solution

The fourth proportional to 9,066.53, 12,511.74 and 5,087.63 is: 7,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,066.53 : 12,511.74 = 5,087.63 : x
  2. Step 2: Convert to fraction form
    9,066.53/12,511.74 = 5,087.63/x
  3. Step 3: Cross multiply
    9,066.53x = 12,511.74 × 5,087.63
  4. Step 4: Simplify right side
    9,066.53x = 63,655,041.22
  5. Step 5: Solve for x
    x = 63,655,041.22/9,066.53
  6. Step 6: Final answer
    x = 7,020.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.