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Finding the Fourth Proportional to 10,503.16, 14,492.72 and 6,729.72

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Solution

The fourth proportional to 10,503.16, 14,492.72 and 6,729.72 is: 9,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.16 : 14,492.72 = 6,729.72 : x
  2. Step 2: Convert to fraction form
    10,503.16/14,492.72 = 6,729.72/x
  3. Step 3: Cross multiply
    10,503.16x = 14,492.72 × 6,729.72
  4. Step 4: Simplify right side
    10,503.16x = 97,531,947.64
  5. Step 5: Solve for x
    x = 97,531,947.64/10,503.16
  6. Step 6: Final answer
    x = 9,285.96

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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.