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Finding the Fourth Proportional to 10,681.70, 16,001.69 and 7,349.36

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Solution

The fourth proportional to 10,681.70, 16,001.69 and 7,349.36 is: 11,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.70 : 16,001.69 = 7,349.36 : x
  2. Step 2: Convert to fraction form
    10,681.70/16,001.69 = 7,349.36/x
  3. Step 3: Cross multiply
    10,681.70x = 16,001.69 × 7,349.36
  4. Step 4: Simplify right side
    10,681.70x = 117,602,063.66
  5. Step 5: Solve for x
    x = 117,602,063.66/10,681.70
  6. Step 6: Final answer
    x = 11,009.68

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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.