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Finding the Fourth Proportional to 10,531.93, 14,534.06 and 5,816.21

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Solution

The fourth proportional to 10,531.93, 14,534.06 and 5,816.21 is: 8,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.93 : 14,534.06 = 5,816.21 : x
  2. Step 2: Convert to fraction form
    10,531.93/14,534.06 = 5,816.21/x
  3. Step 3: Cross multiply
    10,531.93x = 14,534.06 × 5,816.21
  4. Step 4: Simplify right side
    10,531.93x = 84,533,070.61
  5. Step 5: Solve for x
    x = 84,533,070.61/10,531.93
  6. Step 6: Final answer
    x = 8,026.36

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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.