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Finding the Fourth Proportional to 10,638.55, 14,681.39 and 5,858.47

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Solution

The fourth proportional to 10,638.55, 14,681.39 and 5,858.47 is: 8,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.55 : 14,681.39 = 5,858.47 : x
  2. Step 2: Convert to fraction form
    10,638.55/14,681.39 = 5,858.47/x
  3. Step 3: Cross multiply
    10,638.55x = 14,681.39 × 5,858.47
  4. Step 4: Simplify right side
    10,638.55x = 86,010,482.87
  5. Step 5: Solve for x
    x = 86,010,482.87/10,638.55
  6. Step 6: Final answer
    x = 8,084.79

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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.