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Finding the Fourth Proportional to 10,506.78, 14,499.36 and 6,317.46

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Solution

The fourth proportional to 10,506.78, 14,499.36 and 6,317.46 is: 8,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.78 : 14,499.36 = 6,317.46 : x
  2. Step 2: Convert to fraction form
    10,506.78/14,499.36 = 6,317.46/x
  3. Step 3: Cross multiply
    10,506.78x = 14,499.36 × 6,317.46
  4. Step 4: Simplify right side
    10,506.78x = 91,599,126.83
  5. Step 5: Solve for x
    x = 91,599,126.83/10,506.78
  6. Step 6: Final answer
    x = 8,718.10

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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.