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Finding the Fourth Proportional to 10,303.52, 15,435.36 and 6,782.93

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Solution

The fourth proportional to 10,303.52, 15,435.36 and 6,782.93 is: 10,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.52 : 15,435.36 = 6,782.93 : x
  2. Step 2: Convert to fraction form
    10,303.52/15,435.36 = 6,782.93/x
  3. Step 3: Cross multiply
    10,303.52x = 15,435.36 × 6,782.93
  4. Step 4: Simplify right side
    10,303.52x = 104,696,889.23
  5. Step 5: Solve for x
    x = 104,696,889.23/10,303.52
  6. Step 6: Final answer
    x = 10,161.28

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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.