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Finding the Fourth Proportional to 10,506.80, 14,485.04 and 8,260

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Solution

The fourth proportional to 10,506.80, 14,485.04 and 8,260 is: 11,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.80 : 14,485.04 = 8,260 : x
  2. Step 2: Convert to fraction form
    10,506.80/14,485.04 = 8,260/x
  3. Step 3: Cross multiply
    10,506.80x = 14,485.04 × 8,260
  4. Step 4: Simplify right side
    10,506.80x = 119,646,430.40
  5. Step 5: Solve for x
    x = 119,646,430.40/10,506.80
  6. Step 6: Final answer
    x = 11,387.52

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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.