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Finding the Fourth Proportional to 10,460.17, 14,435.16 and 5,680.17

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Solution

The fourth proportional to 10,460.17, 14,435.16 and 5,680.17 is: 7,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.17 : 14,435.16 = 5,680.17 : x
  2. Step 2: Convert to fraction form
    10,460.17/14,435.16 = 5,680.17/x
  3. Step 3: Cross multiply
    10,460.17x = 14,435.16 × 5,680.17
  4. Step 4: Simplify right side
    10,460.17x = 81,994,062.20
  5. Step 5: Solve for x
    x = 81,994,062.20/10,460.17
  6. Step 6: Final answer
    x = 7,838.69

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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.