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Finding the Fourth Proportional to 10,154.16, 14,008.68 and 6,426

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Solution

The fourth proportional to 10,154.16, 14,008.68 and 6,426 is: 8,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.16 : 14,008.68 = 6,426 : x
  2. Step 2: Convert to fraction form
    10,154.16/14,008.68 = 6,426/x
  3. Step 3: Cross multiply
    10,154.16x = 14,008.68 × 6,426
  4. Step 4: Simplify right side
    10,154.16x = 90,019,777.68
  5. Step 5: Solve for x
    x = 90,019,777.68/10,154.16
  6. Step 6: Final answer
    x = 8,865.31

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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.