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Finding the Fourth Proportional to 10,506.51, 14,497.92 and 6,029.19

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Solution

The fourth proportional to 10,506.51, 14,497.92 and 6,029.19 is: 8,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.51 : 14,497.92 = 6,029.19 : x
  2. Step 2: Convert to fraction form
    10,506.51/14,497.92 = 6,029.19/x
  3. Step 3: Cross multiply
    10,506.51x = 14,497.92 × 6,029.19
  4. Step 4: Simplify right side
    10,506.51x = 87,410,714.28
  5. Step 5: Solve for x
    x = 87,410,714.28/10,506.51
  6. Step 6: Final answer
    x = 8,319.67

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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.