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Finding the Fourth Proportional to 10,531.95, 14,534.10 and 5,816.25

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Solution

The fourth proportional to 10,531.95, 14,534.10 and 5,816.25 is: 8,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.95 : 14,534.10 = 5,816.25 : x
  2. Step 2: Convert to fraction form
    10,531.95/14,534.10 = 5,816.25/x
  3. Step 3: Cross multiply
    10,531.95x = 14,534.10 × 5,816.25
  4. Step 4: Simplify right side
    10,531.95x = 84,533,959.13
  5. Step 5: Solve for x
    x = 84,533,959.13/10,531.95
  6. Step 6: Final answer
    x = 8,026.43

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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.