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Finding the Fourth Proportional to 10,585.02, 15,863.58 and 5,907.24

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Solution

The fourth proportional to 10,585.02, 15,863.58 and 5,907.24 is: 8,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.02 : 15,863.58 = 5,907.24 : x
  2. Step 2: Convert to fraction form
    10,585.02/15,863.58 = 5,907.24/x
  3. Step 3: Cross multiply
    10,585.02x = 15,863.58 × 5,907.24
  4. Step 4: Simplify right side
    10,585.02x = 93,709,974.32
  5. Step 5: Solve for x
    x = 93,709,974.32/10,585.02
  6. Step 6: Final answer
    x = 8,853.07

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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.