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Finding the Fourth Proportional to 10,701.69, 14,771.75 and 7,515.75

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Solution

The fourth proportional to 10,701.69, 14,771.75 and 7,515.75 is: 10,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.69 : 14,771.75 = 7,515.75 : x
  2. Step 2: Convert to fraction form
    10,701.69/14,771.75 = 7,515.75/x
  3. Step 3: Cross multiply
    10,701.69x = 14,771.75 × 7,515.75
  4. Step 4: Simplify right side
    10,701.69x = 111,020,742.48
  5. Step 5: Solve for x
    x = 111,020,742.48/10,701.69
  6. Step 6: Final answer
    x = 10,374.13

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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.