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Finding the Fourth Proportional to 10,577.85, 14,597.40 and 5,862.16

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Solution

The fourth proportional to 10,577.85, 14,597.40 and 5,862.16 is: 8,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.85 : 14,597.40 = 5,862.16 : x
  2. Step 2: Convert to fraction form
    10,577.85/14,597.40 = 5,862.16/x
  3. Step 3: Cross multiply
    10,577.85x = 14,597.40 × 5,862.16
  4. Step 4: Simplify right side
    10,577.85x = 85,572,294.38
  5. Step 5: Solve for x
    x = 85,572,294.38/10,577.85
  6. Step 6: Final answer
    x = 8,089.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.