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Finding the Fourth Proportional to 10,740.75, 14,822.24 and 6,024.93

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Solution

The fourth proportional to 10,740.75, 14,822.24 and 6,024.93 is: 8,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.75 : 14,822.24 = 6,024.93 : x
  2. Step 2: Convert to fraction form
    10,740.75/14,822.24 = 6,024.93/x
  3. Step 3: Cross multiply
    10,740.75x = 14,822.24 × 6,024.93
  4. Step 4: Simplify right side
    10,740.75x = 89,302,928.32
  5. Step 5: Solve for x
    x = 89,302,928.32/10,740.75
  6. Step 6: Final answer
    x = 8,314.40

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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.