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Finding the Fourth Proportional to 10,856.58, 14,980.37 and 6,384.16

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Solution

The fourth proportional to 10,856.58, 14,980.37 and 6,384.16 is: 8,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.58 : 14,980.37 = 6,384.16 : x
  2. Step 2: Convert to fraction form
    10,856.58/14,980.37 = 6,384.16/x
  3. Step 3: Cross multiply
    10,856.58x = 14,980.37 × 6,384.16
  4. Step 4: Simplify right side
    10,856.58x = 95,637,078.94
  5. Step 5: Solve for x
    x = 95,637,078.94/10,856.58
  6. Step 6: Final answer
    x = 8,809.14

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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.