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Finding the Fourth Proportional to 10,005.46, 14,999.76 and 4,737.41

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Solution

The fourth proportional to 10,005.46, 14,999.76 and 4,737.41 is: 7,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.46 : 14,999.76 = 4,737.41 : x
  2. Step 2: Convert to fraction form
    10,005.46/14,999.76 = 4,737.41/x
  3. Step 3: Cross multiply
    10,005.46x = 14,999.76 × 4,737.41
  4. Step 4: Simplify right side
    10,005.46x = 71,060,013.02
  5. Step 5: Solve for x
    x = 71,060,013.02/10,005.46
  6. Step 6: Final answer
    x = 7,102.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.