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Finding the Fourth Proportional to 10,056.74, 13,878.30 and 5,580.54

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Solution

The fourth proportional to 10,056.74, 13,878.30 and 5,580.54 is: 7,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.74 : 13,878.30 = 5,580.54 : x
  2. Step 2: Convert to fraction form
    10,056.74/13,878.30 = 5,580.54/x
  3. Step 3: Cross multiply
    10,056.74x = 13,878.30 × 5,580.54
  4. Step 4: Simplify right side
    10,056.74x = 77,448,408.28
  5. Step 5: Solve for x
    x = 77,448,408.28/10,056.74
  6. Step 6: Final answer
    x = 7,701.14

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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.