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Finding the Fourth Proportional to 10,562.33, 14,575.02 and 6,312.55

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Solution

The fourth proportional to 10,562.33, 14,575.02 and 6,312.55 is: 8,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.33 : 14,575.02 = 6,312.55 : x
  2. Step 2: Convert to fraction form
    10,562.33/14,575.02 = 6,312.55/x
  3. Step 3: Cross multiply
    10,562.33x = 14,575.02 × 6,312.55
  4. Step 4: Simplify right side
    10,562.33x = 92,005,469.63
  5. Step 5: Solve for x
    x = 92,005,469.63/10,562.33
  6. Step 6: Final answer
    x = 8,710.72

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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.