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Finding the Fourth Proportional to 10,531.98, 14,533.74 and 5,816.16

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Solution

The fourth proportional to 10,531.98, 14,533.74 and 5,816.16 is: 8,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.98 : 14,533.74 = 5,816.16 : x
  2. Step 2: Convert to fraction form
    10,531.98/14,533.74 = 5,816.16/x
  3. Step 3: Cross multiply
    10,531.98x = 14,533.74 × 5,816.16
  4. Step 4: Simplify right side
    10,531.98x = 84,530,557.24
  5. Step 5: Solve for x
    x = 84,530,557.24/10,531.98
  6. Step 6: Final answer
    x = 8,026.08

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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.