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Finding the Fourth Proportional to 10,056.66, 13,877.85 and 5,580.30

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Solution

The fourth proportional to 10,056.66, 13,877.85 and 5,580.30 is: 7,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.66 : 13,877.85 = 5,580.30 : x
  2. Step 2: Convert to fraction form
    10,056.66/13,877.85 = 5,580.30/x
  3. Step 3: Cross multiply
    10,056.66x = 13,877.85 × 5,580.30
  4. Step 4: Simplify right side
    10,056.66x = 77,442,566.36
  5. Step 5: Solve for x
    x = 77,442,566.36/10,056.66
  6. Step 6: Final answer
    x = 7,700.62

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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.