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Finding the Fourth Proportional to 10,838.48, 14,959.08 and 7,014.80

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Solution

The fourth proportional to 10,838.48, 14,959.08 and 7,014.80 is: 9,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.48 : 14,959.08 = 7,014.80 : x
  2. Step 2: Convert to fraction form
    10,838.48/14,959.08 = 7,014.80/x
  3. Step 3: Cross multiply
    10,838.48x = 14,959.08 × 7,014.80
  4. Step 4: Simplify right side
    10,838.48x = 104,934,991.78
  5. Step 5: Solve for x
    x = 104,934,991.78/10,838.48
  6. Step 6: Final answer
    x = 9,681.71

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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.