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Finding the Fourth Proportional to 10,569.64, 15,851.22 and 8,484.70

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Solution

The fourth proportional to 10,569.64, 15,851.22 and 8,484.70 is: 12,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.64 : 15,851.22 = 8,484.70 : x
  2. Step 2: Convert to fraction form
    10,569.64/15,851.22 = 8,484.70/x
  3. Step 3: Cross multiply
    10,569.64x = 15,851.22 × 8,484.70
  4. Step 4: Simplify right side
    10,569.64x = 134,492,846.33
  5. Step 5: Solve for x
    x = 134,492,846.33/10,569.64
  6. Step 6: Final answer
    x = 12,724.45

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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.