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Finding the Fourth Proportional to 10,756.53, 14,842.64 and 6,277.03

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Solution

The fourth proportional to 10,756.53, 14,842.64 and 6,277.03 is: 8,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.53 : 14,842.64 = 6,277.03 : x
  2. Step 2: Convert to fraction form
    10,756.53/14,842.64 = 6,277.03/x
  3. Step 3: Cross multiply
    10,756.53x = 14,842.64 × 6,277.03
  4. Step 4: Simplify right side
    10,756.53x = 93,167,675.15
  5. Step 5: Solve for x
    x = 93,167,675.15/10,756.53
  6. Step 6: Final answer
    x = 8,661.50

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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.