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Finding the Fourth Proportional to 10,700.04, 14,770.79 and 6,394.66

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Solution

The fourth proportional to 10,700.04, 14,770.79 and 6,394.66 is: 8,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.04 : 14,770.79 = 6,394.66 : x
  2. Step 2: Convert to fraction form
    10,700.04/14,770.79 = 6,394.66/x
  3. Step 3: Cross multiply
    10,700.04x = 14,770.79 × 6,394.66
  4. Step 4: Simplify right side
    10,700.04x = 94,454,106.13
  5. Step 5: Solve for x
    x = 94,454,106.13/10,700.04
  6. Step 6: Final answer
    x = 8,827.45

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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.