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Finding the Fourth Proportional to 12,058.84, 16,627.80 and 7,577.20

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Solution

The fourth proportional to 12,058.84, 16,627.80 and 7,577.20 is: 10,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.84 : 16,627.80 = 7,577.20 : x
  2. Step 2: Convert to fraction form
    12,058.84/16,627.80 = 7,577.20/x
  3. Step 3: Cross multiply
    12,058.84x = 16,627.80 × 7,577.20
  4. Step 4: Simplify right side
    12,058.84x = 125,992,166.16
  5. Step 5: Solve for x
    x = 125,992,166.16/12,058.84
  6. Step 6: Final answer
    x = 10,448.12

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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.