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Finding the Fourth Proportional to 10,647.69, 14,686.01 and 7,056.15

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Solution

The fourth proportional to 10,647.69, 14,686.01 and 7,056.15 is: 9,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.69 : 14,686.01 = 7,056.15 : x
  2. Step 2: Convert to fraction form
    10,647.69/14,686.01 = 7,056.15/x
  3. Step 3: Cross multiply
    10,647.69x = 14,686.01 × 7,056.15
  4. Step 4: Simplify right side
    10,647.69x = 103,626,580.75
  5. Step 5: Solve for x
    x = 103,626,580.75/10,647.69
  6. Step 6: Final answer
    x = 9,732.31

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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.