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Finding the Fourth Proportional to 10,735.98, 14,798.53 and 8,463.62

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Solution

The fourth proportional to 10,735.98, 14,798.53 and 8,463.62 is: 11,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.98 : 14,798.53 = 8,463.62 : x
  2. Step 2: Convert to fraction form
    10,735.98/14,798.53 = 8,463.62/x
  3. Step 3: Cross multiply
    10,735.98x = 14,798.53 × 8,463.62
  4. Step 4: Simplify right side
    10,735.98x = 125,249,134.48
  5. Step 5: Solve for x
    x = 125,249,134.48/10,735.98
  6. Step 6: Final answer
    x = 11,666.30

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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.