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Finding the Fourth Proportional to 10,859.06, 14,977.31 and 7,507.49

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Solution

The fourth proportional to 10,859.06, 14,977.31 and 7,507.49 is: 10,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.06 : 14,977.31 = 7,507.49 : x
  2. Step 2: Convert to fraction form
    10,859.06/14,977.31 = 7,507.49/x
  3. Step 3: Cross multiply
    10,859.06x = 14,977.31 × 7,507.49
  4. Step 4: Simplify right side
    10,859.06x = 112,441,892.63
  5. Step 5: Solve for x
    x = 112,441,892.63/10,859.06
  6. Step 6: Final answer
    x = 10,354.66

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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.