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Finding the Fourth Proportional to 10,572.80, 14,588.16 and 6,845.44

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Solution

The fourth proportional to 10,572.80, 14,588.16 and 6,845.44 is: 9,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.80 : 14,588.16 = 6,845.44 : x
  2. Step 2: Convert to fraction form
    10,572.80/14,588.16 = 6,845.44/x
  3. Step 3: Cross multiply
    10,572.80x = 14,588.16 × 6,845.44
  4. Step 4: Simplify right side
    10,572.80x = 99,862,373.99
  5. Step 5: Solve for x
    x = 99,862,373.99/10,572.80
  6. Step 6: Final answer
    x = 9,445.22

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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.