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Finding the Fourth Proportional to 10,856.66, 14,980.28 and 6,666.26

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Solution

The fourth proportional to 10,856.66, 14,980.28 and 6,666.26 is: 9,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.66 : 14,980.28 = 6,666.26 : x
  2. Step 2: Convert to fraction form
    10,856.66/14,980.28 = 6,666.26/x
  3. Step 3: Cross multiply
    10,856.66x = 14,980.28 × 6,666.26
  4. Step 4: Simplify right side
    10,856.66x = 99,862,441.35
  5. Step 5: Solve for x
    x = 99,862,441.35/10,856.66
  6. Step 6: Final answer
    x = 9,198.27

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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.