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Finding the Fourth Proportional to 10,108, 13,948.50 and 5,570.53

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Solution

The fourth proportional to 10,108, 13,948.50 and 5,570.53 is: 7,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108 : 13,948.50 = 5,570.53 : x
  2. Step 2: Convert to fraction form
    10,108/13,948.50 = 5,570.53/x
  3. Step 3: Cross multiply
    10,108x = 13,948.50 × 5,570.53
  4. Step 4: Simplify right side
    10,108x = 77,700,537.71
  5. Step 5: Solve for x
    x = 77,700,537.71/10,108
  6. Step 6: Final answer
    x = 7,687.03

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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.