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Finding the Fourth Proportional to 10,402.02, 14,354.01 and 6,153.57

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Solution

The fourth proportional to 10,402.02, 14,354.01 and 6,153.57 is: 8,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.02 : 14,354.01 = 6,153.57 : x
  2. Step 2: Convert to fraction form
    10,402.02/14,354.01 = 6,153.57/x
  3. Step 3: Cross multiply
    10,402.02x = 14,354.01 × 6,153.57
  4. Step 4: Simplify right side
    10,402.02x = 88,328,405.32
  5. Step 5: Solve for x
    x = 88,328,405.32/10,402.02
  6. Step 6: Final answer
    x = 8,491.47

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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.