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Finding the Fourth Proportional to 10,677.14, 14,728.53 and 7,495.19

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Solution

The fourth proportional to 10,677.14, 14,728.53 and 7,495.19 is: 10,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.14 : 14,728.53 = 7,495.19 : x
  2. Step 2: Convert to fraction form
    10,677.14/14,728.53 = 7,495.19/x
  3. Step 3: Cross multiply
    10,677.14x = 14,728.53 × 7,495.19
  4. Step 4: Simplify right side
    10,677.14x = 110,393,130.77
  5. Step 5: Solve for x
    x = 110,393,130.77/10,677.14
  6. Step 6: Final answer
    x = 10,339.20

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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.