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Finding the Fourth Proportional to 10,509.64, 15,766.32 and 3,490.08

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Solution

The fourth proportional to 10,509.64, 15,766.32 and 3,490.08 is: 5,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.64 : 15,766.32 = 3,490.08 : x
  2. Step 2: Convert to fraction form
    10,509.64/15,766.32 = 3,490.08/x
  3. Step 3: Cross multiply
    10,509.64x = 15,766.32 × 3,490.08
  4. Step 4: Simplify right side
    10,509.64x = 55,025,718.11
  5. Step 5: Solve for x
    x = 55,025,718.11/10,509.64
  6. Step 6: Final answer
    x = 5,235.74

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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.