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Finding the Fourth Proportional to 10,203.52, 15,275.04 and 6,295.36

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Solution

The fourth proportional to 10,203.52, 15,275.04 and 6,295.36 is: 9,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.52 : 15,275.04 = 6,295.36 : x
  2. Step 2: Convert to fraction form
    10,203.52/15,275.04 = 6,295.36/x
  3. Step 3: Cross multiply
    10,203.52x = 15,275.04 × 6,295.36
  4. Step 4: Simplify right side
    10,203.52x = 96,161,875.81
  5. Step 5: Solve for x
    x = 96,161,875.81/10,203.52
  6. Step 6: Final answer
    x = 9,424.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.