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Finding the Fourth Proportional to 10,806.51, 14,915.76 and 7,039.06

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Solution

The fourth proportional to 10,806.51, 14,915.76 and 7,039.06 is: 9,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.51 : 14,915.76 = 7,039.06 : x
  2. Step 2: Convert to fraction form
    10,806.51/14,915.76 = 7,039.06/x
  3. Step 3: Cross multiply
    10,806.51x = 14,915.76 × 7,039.06
  4. Step 4: Simplify right side
    10,806.51x = 104,992,929.59
  5. Step 5: Solve for x
    x = 104,992,929.59/10,806.51
  6. Step 6: Final answer
    x = 9,715.71

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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.