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Finding the Fourth Proportional to 10,435.52, 15,653.52 and 4,196.16

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Solution

The fourth proportional to 10,435.52, 15,653.52 and 4,196.16 is: 6,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.52 : 15,653.52 = 4,196.16 : x
  2. Step 2: Convert to fraction form
    10,435.52/15,653.52 = 4,196.16/x
  3. Step 3: Cross multiply
    10,435.52x = 15,653.52 × 4,196.16
  4. Step 4: Simplify right side
    10,435.52x = 65,684,674.48
  5. Step 5: Solve for x
    x = 65,684,674.48/10,435.52
  6. Step 6: Final answer
    x = 6,294.34

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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.