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Finding the Fourth Proportional to 10,008.32, 13,804.80 and 7,024.28

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Solution

The fourth proportional to 10,008.32, 13,804.80 and 7,024.28 is: 9,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.32 : 13,804.80 = 7,024.28 : x
  2. Step 2: Convert to fraction form
    10,008.32/13,804.80 = 7,024.28/x
  3. Step 3: Cross multiply
    10,008.32x = 13,804.80 × 7,024.28
  4. Step 4: Simplify right side
    10,008.32x = 96,968,780.54
  5. Step 5: Solve for x
    x = 96,968,780.54/10,008.32
  6. Step 6: Final answer
    x = 9,688.82

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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.