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Finding the Fourth Proportional to 10,562.77, 14,575.63 and 6,312.98

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Solution

The fourth proportional to 10,562.77, 14,575.63 and 6,312.98 is: 8,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.77 : 14,575.63 = 6,312.98 : x
  2. Step 2: Convert to fraction form
    10,562.77/14,575.63 = 6,312.98/x
  3. Step 3: Cross multiply
    10,562.77x = 14,575.63 × 6,312.98
  4. Step 4: Simplify right side
    10,562.77x = 92,015,660.68
  5. Step 5: Solve for x
    x = 92,015,660.68/10,562.77
  6. Step 6: Final answer
    x = 8,711.32

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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.