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Finding the Fourth Proportional to 10,366.63, 14,307.80 and 6,117.43

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Solution

The fourth proportional to 10,366.63, 14,307.80 and 6,117.43 is: 8,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.63 : 14,307.80 = 6,117.43 : x
  2. Step 2: Convert to fraction form
    10,366.63/14,307.80 = 6,117.43/x
  3. Step 3: Cross multiply
    10,366.63x = 14,307.80 × 6,117.43
  4. Step 4: Simplify right side
    10,366.63x = 87,526,964.95
  5. Step 5: Solve for x
    x = 87,526,964.95/10,366.63
  6. Step 6: Final answer
    x = 8,443.15

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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.