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Finding the Fourth Proportional to 10,496.23, 14,484.81 and 5,780.50

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Solution

The fourth proportional to 10,496.23, 14,484.81 and 5,780.50 is: 7,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.23 : 14,484.81 = 5,780.50 : x
  2. Step 2: Convert to fraction form
    10,496.23/14,484.81 = 5,780.50/x
  3. Step 3: Cross multiply
    10,496.23x = 14,484.81 × 5,780.50
  4. Step 4: Simplify right side
    10,496.23x = 83,729,444.21
  5. Step 5: Solve for x
    x = 83,729,444.21/10,496.23
  6. Step 6: Final answer
    x = 7,977.10

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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.