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Finding the Fourth Proportional to 10,052.51, 15,086.05 and 7,071.35

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Solution

The fourth proportional to 10,052.51, 15,086.05 and 7,071.35 is: 10,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.51 : 15,086.05 = 7,071.35 : x
  2. Step 2: Convert to fraction form
    10,052.51/15,086.05 = 7,071.35/x
  3. Step 3: Cross multiply
    10,052.51x = 15,086.05 × 7,071.35
  4. Step 4: Simplify right side
    10,052.51x = 106,678,731.42
  5. Step 5: Solve for x
    x = 106,678,731.42/10,052.51
  6. Step 6: Final answer
    x = 10,612.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.