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Finding the Fourth Proportional to 10,685.82, 14,746.19 and 6,209.53

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Solution

The fourth proportional to 10,685.82, 14,746.19 and 6,209.53 is: 8,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.82 : 14,746.19 = 6,209.53 : x
  2. Step 2: Convert to fraction form
    10,685.82/14,746.19 = 6,209.53/x
  3. Step 3: Cross multiply
    10,685.82x = 14,746.19 × 6,209.53
  4. Step 4: Simplify right side
    10,685.82x = 91,566,841.28
  5. Step 5: Solve for x
    x = 91,566,841.28/10,685.82
  6. Step 6: Final answer
    x = 8,569.00

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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.