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Finding the Fourth Proportional to 10,775.52, 14,870.76 and 6,298.56

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Solution

The fourth proportional to 10,775.52, 14,870.76 and 6,298.56 is: 8,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.52 : 14,870.76 = 6,298.56 : x
  2. Step 2: Convert to fraction form
    10,775.52/14,870.76 = 6,298.56/x
  3. Step 3: Cross multiply
    10,775.52x = 14,870.76 × 6,298.56
  4. Step 4: Simplify right side
    10,775.52x = 93,664,374.11
  5. Step 5: Solve for x
    x = 93,664,374.11/10,775.52
  6. Step 6: Final answer
    x = 8,692.33

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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.