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Finding the Fourth Proportional to 10,563.72, 14,577.78 and 5,848.02

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Solution

The fourth proportional to 10,563.72, 14,577.78 and 5,848.02 is: 8,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.72 : 14,577.78 = 5,848.02 : x
  2. Step 2: Convert to fraction form
    10,563.72/14,577.78 = 5,848.02/x
  3. Step 3: Cross multiply
    10,563.72x = 14,577.78 × 5,848.02
  4. Step 4: Simplify right side
    10,563.72x = 85,251,149.00
  5. Step 5: Solve for x
    x = 85,251,149.00/10,563.72
  6. Step 6: Final answer
    x = 8,070.18

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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.