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Finding the Fourth Proportional to 10,235.16, 14,129.28 and 7,718.34

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Solution

The fourth proportional to 10,235.16, 14,129.28 and 7,718.34 is: 10,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.16 : 14,129.28 = 7,718.34 : x
  2. Step 2: Convert to fraction form
    10,235.16/14,129.28 = 7,718.34/x
  3. Step 3: Cross multiply
    10,235.16x = 14,129.28 × 7,718.34
  4. Step 4: Simplify right side
    10,235.16x = 109,054,587.00
  5. Step 5: Solve for x
    x = 109,054,587.00/10,235.16
  6. Step 6: Final answer
    x = 10,654.90

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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.