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Finding the Fourth Proportional to 10,531.79, 14,533.86 and 5,816.06

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Solution

The fourth proportional to 10,531.79, 14,533.86 and 5,816.06 is: 8,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.79 : 14,533.86 = 5,816.06 : x
  2. Step 2: Convert to fraction form
    10,531.79/14,533.86 = 5,816.06/x
  3. Step 3: Cross multiply
    10,531.79x = 14,533.86 × 5,816.06
  4. Step 4: Simplify right side
    10,531.79x = 84,529,772.72
  5. Step 5: Solve for x
    x = 84,529,772.72/10,531.79
  6. Step 6: Final answer
    x = 8,026.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.