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Finding the Fourth Proportional to 10,056.53, 13,878.11 and 5,580.70

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Solution

The fourth proportional to 10,056.53, 13,878.11 and 5,580.70 is: 7,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.53 : 13,878.11 = 5,580.70 : x
  2. Step 2: Convert to fraction form
    10,056.53/13,878.11 = 5,580.70/x
  3. Step 3: Cross multiply
    10,056.53x = 13,878.11 × 5,580.70
  4. Step 4: Simplify right side
    10,056.53x = 77,449,479.86
  5. Step 5: Solve for x
    x = 77,449,479.86/10,056.53
  6. Step 6: Final answer
    x = 7,701.41

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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.