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Finding the Fourth Proportional to 10,407.48, 14,363.28 and 6,215.64

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Solution

The fourth proportional to 10,407.48, 14,363.28 and 6,215.64 is: 8,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.48 : 14,363.28 = 6,215.64 : x
  2. Step 2: Convert to fraction form
    10,407.48/14,363.28 = 6,215.64/x
  3. Step 3: Cross multiply
    10,407.48x = 14,363.28 × 6,215.64
  4. Step 4: Simplify right side
    10,407.48x = 89,276,977.70
  5. Step 5: Solve for x
    x = 89,276,977.70/10,407.48
  6. Step 6: Final answer
    x = 8,578.16

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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.