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Finding the Fourth Proportional to 10,970.30, 16,458.05 and 3,574.80

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Solution

The fourth proportional to 10,970.30, 16,458.05 and 3,574.80 is: 5,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.30 : 16,458.05 = 3,574.80 : x
  2. Step 2: Convert to fraction form
    10,970.30/16,458.05 = 3,574.80/x
  3. Step 3: Cross multiply
    10,970.30x = 16,458.05 × 3,574.80
  4. Step 4: Simplify right side
    10,970.30x = 58,834,246.08
  5. Step 5: Solve for x
    x = 58,834,246.08/10,970.30
  6. Step 6: Final answer
    x = 5,363.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.