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Finding the Fourth Proportional to 10,536.24, 14,533.92 and 6,810.24

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Solution

The fourth proportional to 10,536.24, 14,533.92 and 6,810.24 is: 9,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.24 : 14,533.92 = 6,810.24 : x
  2. Step 2: Convert to fraction form
    10,536.24/14,533.92 = 6,810.24/x
  3. Step 3: Cross multiply
    10,536.24x = 14,533.92 × 6,810.24
  4. Step 4: Simplify right side
    10,536.24x = 98,979,483.34
  5. Step 5: Solve for x
    x = 98,979,483.34/10,536.24
  6. Step 6: Final answer
    x = 9,394.19

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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.