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Finding the Fourth Proportional to 10,482.68, 15,726.66 and 3,909.08

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Solution

The fourth proportional to 10,482.68, 15,726.66 and 3,909.08 is: 5,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.68 : 15,726.66 = 3,909.08 : x
  2. Step 2: Convert to fraction form
    10,482.68/15,726.66 = 3,909.08/x
  3. Step 3: Cross multiply
    10,482.68x = 15,726.66 × 3,909.08
  4. Step 4: Simplify right side
    10,482.68x = 61,476,772.07
  5. Step 5: Solve for x
    x = 61,476,772.07/10,482.68
  6. Step 6: Final answer
    x = 5,864.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.