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Finding the Fourth Proportional to 10,278.09, 15,411.06 and 4,653.45

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Solution

The fourth proportional to 10,278.09, 15,411.06 and 4,653.45 is: 6,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.09 : 15,411.06 = 4,653.45 : x
  2. Step 2: Convert to fraction form
    10,278.09/15,411.06 = 4,653.45/x
  3. Step 3: Cross multiply
    10,278.09x = 15,411.06 × 4,653.45
  4. Step 4: Simplify right side
    10,278.09x = 71,714,597.16
  5. Step 5: Solve for x
    x = 71,714,597.16/10,278.09
  6. Step 6: Final answer
    x = 6,977.42

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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.