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Finding the Fourth Proportional to 10,569.56, 14,586.10 and 6,377

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Solution

The fourth proportional to 10,569.56, 14,586.10 and 6,377 is: 8,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.56 : 14,586.10 = 6,377 : x
  2. Step 2: Convert to fraction form
    10,569.56/14,586.10 = 6,377/x
  3. Step 3: Cross multiply
    10,569.56x = 14,586.10 × 6,377
  4. Step 4: Simplify right side
    10,569.56x = 93,015,559.70
  5. Step 5: Solve for x
    x = 93,015,559.70/10,569.56
  6. Step 6: Final answer
    x = 8,800.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.