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Finding the Fourth Proportional to 10,056.95, 13,878.23 and 5,580.89

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Solution

The fourth proportional to 10,056.95, 13,878.23 and 5,580.89 is: 7,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.95 : 13,878.23 = 5,580.89 : x
  2. Step 2: Convert to fraction form
    10,056.95/13,878.23 = 5,580.89/x
  3. Step 3: Cross multiply
    10,056.95x = 13,878.23 × 5,580.89
  4. Step 4: Simplify right side
    10,056.95x = 77,452,777.73
  5. Step 5: Solve for x
    x = 77,452,777.73/10,056.95
  6. Step 6: Final answer
    x = 7,701.42

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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.