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Finding the Fourth Proportional to 10,496.59, 14,483.82 and 5,781.18

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Solution

The fourth proportional to 10,496.59, 14,483.82 and 5,781.18 is: 7,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.59 : 14,483.82 = 5,781.18 : x
  2. Step 2: Convert to fraction form
    10,496.59/14,483.82 = 5,781.18/x
  3. Step 3: Cross multiply
    10,496.59x = 14,483.82 × 5,781.18
  4. Step 4: Simplify right side
    10,496.59x = 83,733,570.51
  5. Step 5: Solve for x
    x = 83,733,570.51/10,496.59
  6. Step 6: Final answer
    x = 7,977.22

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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.