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Finding the Fourth Proportional to 10,612.92, 14,632.68 and 7,068.36

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Solution

The fourth proportional to 10,612.92, 14,632.68 and 7,068.36 is: 9,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.92 : 14,632.68 = 7,068.36 : x
  2. Step 2: Convert to fraction form
    10,612.92/14,632.68 = 7,068.36/x
  3. Step 3: Cross multiply
    10,612.92x = 14,632.68 × 7,068.36
  4. Step 4: Simplify right side
    10,612.92x = 103,429,050.00
  5. Step 5: Solve for x
    x = 103,429,050.00/10,612.92
  6. Step 6: Final answer
    x = 9,745.58

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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.