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Finding the Fourth Proportional to 10,539.86, 14,543.55 and 6,062.00

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Solution

The fourth proportional to 10,539.86, 14,543.55 and 6,062.00 is: 8,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.86 : 14,543.55 = 6,062.00 : x
  2. Step 2: Convert to fraction form
    10,539.86/14,543.55 = 6,062.00/x
  3. Step 3: Cross multiply
    10,539.86x = 14,543.55 × 6,062.00
  4. Step 4: Simplify right side
    10,539.86x = 88,162,927.38
  5. Step 5: Solve for x
    x = 88,162,927.38/10,539.86
  6. Step 6: Final answer
    x = 8,364.72

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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.