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Finding the Fourth Proportional to 12,066.84, 16,643.34 and 7,587

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Solution

The fourth proportional to 12,066.84, 16,643.34 and 7,587 is: 10,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.84 : 16,643.34 = 7,587 : x
  2. Step 2: Convert to fraction form
    12,066.84/16,643.34 = 7,587/x
  3. Step 3: Cross multiply
    12,066.84x = 16,643.34 × 7,587
  4. Step 4: Simplify right side
    12,066.84x = 126,273,020.58
  5. Step 5: Solve for x
    x = 126,273,020.58/12,066.84
  6. Step 6: Final answer
    x = 10,464.46

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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.