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Finding the Fourth Proportional to 10,677.16, 14,726.70 and 7,134.16

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Solution

The fourth proportional to 10,677.16, 14,726.70 and 7,134.16 is: 9,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.16 : 14,726.70 = 7,134.16 : x
  2. Step 2: Convert to fraction form
    10,677.16/14,726.70 = 7,134.16/x
  3. Step 3: Cross multiply
    10,677.16x = 14,726.70 × 7,134.16
  4. Step 4: Simplify right side
    10,677.16x = 105,062,634.07
  5. Step 5: Solve for x
    x = 105,062,634.07/10,677.16
  6. Step 6: Final answer
    x = 9,839.94

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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.