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Finding the Fourth Proportional to 10,788.96, 14,880.24 and 7,062.24

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Solution

The fourth proportional to 10,788.96, 14,880.24 and 7,062.24 is: 9,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.96 : 14,880.24 = 7,062.24 : x
  2. Step 2: Convert to fraction form
    10,788.96/14,880.24 = 7,062.24/x
  3. Step 3: Cross multiply
    10,788.96x = 14,880.24 × 7,062.24
  4. Step 4: Simplify right side
    10,788.96x = 105,087,826.14
  5. Step 5: Solve for x
    x = 105,087,826.14/10,788.96
  6. Step 6: Final answer
    x = 9,740.31

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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.