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Finding the Fourth Proportional to 10,498.64, 14,487.60 and 6,772.64

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Solution

The fourth proportional to 10,498.64, 14,487.60 and 6,772.64 is: 9,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.64 : 14,487.60 = 6,772.64 : x
  2. Step 2: Convert to fraction form
    10,498.64/14,487.60 = 6,772.64/x
  3. Step 3: Cross multiply
    10,498.64x = 14,487.60 × 6,772.64
  4. Step 4: Simplify right side
    10,498.64x = 98,119,299.26
  5. Step 5: Solve for x
    x = 98,119,299.26/10,498.64
  6. Step 6: Final answer
    x = 9,345.91

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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.