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Finding the Fourth Proportional to 10,585.75, 14,607.68 and 5,870.03

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Solution

The fourth proportional to 10,585.75, 14,607.68 and 5,870.03 is: 8,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.75 : 14,607.68 = 5,870.03 : x
  2. Step 2: Convert to fraction form
    10,585.75/14,607.68 = 5,870.03/x
  3. Step 3: Cross multiply
    10,585.75x = 14,607.68 × 5,870.03
  4. Step 4: Simplify right side
    10,585.75x = 85,747,519.83
  5. Step 5: Solve for x
    x = 85,747,519.83/10,585.75
  6. Step 6: Final answer
    x = 8,100.28

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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.