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Finding the Fourth Proportional to 10,681.98, 14,741.13 and 6,206.58

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Solution

The fourth proportional to 10,681.98, 14,741.13 and 6,206.58 is: 8,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.98 : 14,741.13 = 6,206.58 : x
  2. Step 2: Convert to fraction form
    10,681.98/14,741.13 = 6,206.58/x
  3. Step 3: Cross multiply
    10,681.98x = 14,741.13 × 6,206.58
  4. Step 4: Simplify right side
    10,681.98x = 91,492,002.64
  5. Step 5: Solve for x
    x = 91,492,002.64/10,681.98
  6. Step 6: Final answer
    x = 8,565.08

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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.