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Finding the Fourth Proportional to 10,602.34, 14,627.85 and 6,125.50

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Solution

The fourth proportional to 10,602.34, 14,627.85 and 6,125.50 is: 8,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.34 : 14,627.85 = 6,125.50 : x
  2. Step 2: Convert to fraction form
    10,602.34/14,627.85 = 6,125.50/x
  3. Step 3: Cross multiply
    10,602.34x = 14,627.85 × 6,125.50
  4. Step 4: Simplify right side
    10,602.34x = 89,602,895.18
  5. Step 5: Solve for x
    x = 89,602,895.18/10,602.34
  6. Step 6: Final answer
    x = 8,451.24

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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.