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Finding the Fourth Proportional to 10,036.90, 15,071.75 and 7,838.97

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Solution

The fourth proportional to 10,036.90, 15,071.75 and 7,838.97 is: 11,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.90 : 15,071.75 = 7,838.97 : x
  2. Step 2: Convert to fraction form
    10,036.90/15,071.75 = 7,838.97/x
  3. Step 3: Cross multiply
    10,036.90x = 15,071.75 × 7,838.97
  4. Step 4: Simplify right side
    10,036.90x = 118,146,996.10
  5. Step 5: Solve for x
    x = 118,146,996.10/10,036.90
  6. Step 6: Final answer
    x = 11,771.26

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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.