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Finding the Fourth Proportional to 10,506.97, 14,496.74 and 7,316.69

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Solution

The fourth proportional to 10,506.97, 14,496.74 and 7,316.69 is: 10,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.97 : 14,496.74 = 7,316.69 : x
  2. Step 2: Convert to fraction form
    10,506.97/14,496.74 = 7,316.69/x
  3. Step 3: Cross multiply
    10,506.97x = 14,496.74 × 7,316.69
  4. Step 4: Simplify right side
    10,506.97x = 106,068,152.59
  5. Step 5: Solve for x
    x = 106,068,152.59/10,506.97
  6. Step 6: Final answer
    x = 10,095.03

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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.