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Finding the Fourth Proportional to 10,485.87, 14,470.36 and 7,809.06

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Solution

The fourth proportional to 10,485.87, 14,470.36 and 7,809.06 is: 10,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.87 : 14,470.36 = 7,809.06 : x
  2. Step 2: Convert to fraction form
    10,485.87/14,470.36 = 7,809.06/x
  3. Step 3: Cross multiply
    10,485.87x = 14,470.36 × 7,809.06
  4. Step 4: Simplify right side
    10,485.87x = 112,999,909.46
  5. Step 5: Solve for x
    x = 112,999,909.46/10,485.87
  6. Step 6: Final answer
    x = 10,776.40

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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.