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Finding the Fourth Proportional to 10,058.80, 15,028.66 and 9,714.28

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Solution

The fourth proportional to 10,058.80, 15,028.66 and 9,714.28 is: 14,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.80 : 15,028.66 = 9,714.28 : x
  2. Step 2: Convert to fraction form
    10,058.80/15,028.66 = 9,714.28/x
  3. Step 3: Cross multiply
    10,058.80x = 15,028.66 × 9,714.28
  4. Step 4: Simplify right side
    10,058.80x = 145,992,611.26
  5. Step 5: Solve for x
    x = 145,992,611.26/10,058.80
  6. Step 6: Final answer
    x = 14,513.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.