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Finding the Fourth Proportional to 10,515.57, 14,506.93 and 6,038.29

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Solution

The fourth proportional to 10,515.57, 14,506.93 and 6,038.29 is: 8,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.57 : 14,506.93 = 6,038.29 : x
  2. Step 2: Convert to fraction form
    10,515.57/14,506.93 = 6,038.29/x
  3. Step 3: Cross multiply
    10,515.57x = 14,506.93 × 6,038.29
  4. Step 4: Simplify right side
    10,515.57x = 87,597,050.35
  5. Step 5: Solve for x
    x = 87,597,050.35/10,515.57
  6. Step 6: Final answer
    x = 8,330.22

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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.