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Finding the Fourth Proportional to 10,260.84, 14,165.10 and 7,987.17

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Solution

The fourth proportional to 10,260.84, 14,165.10 and 7,987.17 is: 11,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.84 : 14,165.10 = 7,987.17 : x
  2. Step 2: Convert to fraction form
    10,260.84/14,165.10 = 7,987.17/x
  3. Step 3: Cross multiply
    10,260.84x = 14,165.10 × 7,987.17
  4. Step 4: Simplify right side
    10,260.84x = 113,139,061.77
  5. Step 5: Solve for x
    x = 113,139,061.77/10,260.84
  6. Step 6: Final answer
    x = 11,026.30

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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.