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Finding the Fourth Proportional to 10,530.54, 14,536.80 and 6,283.08

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Solution

The fourth proportional to 10,530.54, 14,536.80 and 6,283.08 is: 8,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.54 : 14,536.80 = 6,283.08 : x
  2. Step 2: Convert to fraction form
    10,530.54/14,536.80 = 6,283.08/x
  3. Step 3: Cross multiply
    10,530.54x = 14,536.80 × 6,283.08
  4. Step 4: Simplify right side
    10,530.54x = 91,335,877.34
  5. Step 5: Solve for x
    x = 91,335,877.34/10,530.54
  6. Step 6: Final answer
    x = 8,673.43

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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.