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Finding the Fourth Proportional to 10,490.16, 15,734.12 and 6,582.96

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Solution

The fourth proportional to 10,490.16, 15,734.12 and 6,582.96 is: 9,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.16 : 15,734.12 = 6,582.96 : x
  2. Step 2: Convert to fraction form
    10,490.16/15,734.12 = 6,582.96/x
  3. Step 3: Cross multiply
    10,490.16x = 15,734.12 × 6,582.96
  4. Step 4: Simplify right side
    10,490.16x = 103,577,082.60
  5. Step 5: Solve for x
    x = 103,577,082.60/10,490.16
  6. Step 6: Final answer
    x = 9,873.74

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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.