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Finding the Fourth Proportional to 10,056.96, 13,878.64 and 5,580.80

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Solution

The fourth proportional to 10,056.96, 13,878.64 and 5,580.80 is: 7,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.96 : 13,878.64 = 5,580.80 : x
  2. Step 2: Convert to fraction form
    10,056.96/13,878.64 = 5,580.80/x
  3. Step 3: Cross multiply
    10,056.96x = 13,878.64 × 5,580.80
  4. Step 4: Simplify right side
    10,056.96x = 77,453,914.11
  5. Step 5: Solve for x
    x = 77,453,914.11/10,056.96
  6. Step 6: Final answer
    x = 7,701.52

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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.