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Finding the Fourth Proportional to 10,506.96, 14,499.42 and 5,726.96

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Solution

The fourth proportional to 10,506.96, 14,499.42 and 5,726.96 is: 7,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.96 : 14,499.42 = 5,726.96 : x
  2. Step 2: Convert to fraction form
    10,506.96/14,499.42 = 5,726.96/x
  3. Step 3: Cross multiply
    10,506.96x = 14,499.42 × 5,726.96
  4. Step 4: Simplify right side
    10,506.96x = 83,037,598.36
  5. Step 5: Solve for x
    x = 83,037,598.36/10,506.96
  6. Step 6: Final answer
    x = 7,903.10

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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.