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Finding the Fourth Proportional to 10,606.92, 14,639.46 and 6,130.06

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Solution

The fourth proportional to 10,606.92, 14,639.46 and 6,130.06 is: 8,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.92 : 14,639.46 = 6,130.06 : x
  2. Step 2: Convert to fraction form
    10,606.92/14,639.46 = 6,130.06/x
  3. Step 3: Cross multiply
    10,606.92x = 14,639.46 × 6,130.06
  4. Step 4: Simplify right side
    10,606.92x = 89,740,768.17
  5. Step 5: Solve for x
    x = 89,740,768.17/10,606.92
  6. Step 6: Final answer
    x = 8,460.59

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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.