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Finding the Fourth Proportional to 10,563.80, 14,578.02 and 5,848.10

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Solution

The fourth proportional to 10,563.80, 14,578.02 and 5,848.10 is: 8,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.80 : 14,578.02 = 5,848.10 : x
  2. Step 2: Convert to fraction form
    10,563.80/14,578.02 = 5,848.10/x
  3. Step 3: Cross multiply
    10,563.80x = 14,578.02 × 5,848.10
  4. Step 4: Simplify right side
    10,563.80x = 85,253,718.76
  5. Step 5: Solve for x
    x = 85,253,718.76/10,563.80
  6. Step 6: Final answer
    x = 8,070.36

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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.