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Finding the Fourth Proportional to 10,375, 14,312.56 and 7,018.99

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Solution

The fourth proportional to 10,375, 14,312.56 and 7,018.99 is: 9,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375 : 14,312.56 = 7,018.99 : x
  2. Step 2: Convert to fraction form
    10,375/14,312.56 = 7,018.99/x
  3. Step 3: Cross multiply
    10,375x = 14,312.56 × 7,018.99
  4. Step 4: Simplify right side
    10,375x = 100,459,715.51
  5. Step 5: Solve for x
    x = 100,459,715.51/10,375
  6. Step 6: Final answer
    x = 9,682.86

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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.