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Finding the Fourth Proportional to 10,602.72, 14,633.04 and 5,887.52

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Solution

The fourth proportional to 10,602.72, 14,633.04 and 5,887.52 is: 8,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.72 : 14,633.04 = 5,887.52 : x
  2. Step 2: Convert to fraction form
    10,602.72/14,633.04 = 5,887.52/x
  3. Step 3: Cross multiply
    10,602.72x = 14,633.04 × 5,887.52
  4. Step 4: Simplify right side
    10,602.72x = 86,152,315.66
  5. Step 5: Solve for x
    x = 86,152,315.66/10,602.72
  6. Step 6: Final answer
    x = 8,125.49

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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.